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Basic algebra involves working with variables and constants in mathematical expressions and equations. In algebra, a variable is a symbol, like t, that represents an unknown value. A constant is a known value, such as 1830.4 or 23067 in the equation.

When solving algebraic equations, we aim to find the value of the variable that makes the equation true. This requires understanding how to properly manipulate the equation using arithmetic operations. Basic algebraic operations include addition, subtraction, multiplication, and division.
If you are new to algebra, remember to take it step by step. Identify which operations are necessary to isolate the variable and solve the problem.

In the given exercise, the equation is:

1830.4 + t = 23067

In this case, t is the variable we need to solve for.

Isolating the variable is a crucial part of solving any algebraic equation. The goal is to have the variable, in this case, t, alone on one side of the equation. To achieve this, we perform the opposite arithmetic operation to both sides of the equation.

Here’s how you do it step-by-step for the given equation:

1830.4 + t = 23067

To isolate t, we need to get rid of the 1830.4 on the left side. Since 1830.4 is added to t, we do the opposite, which is to subtract 1830.4 from both sides of the equation:

1830.4 + t - 1830.4 = 23067 - 1830.4

This simplifies to:

t = 23067 - 1830.4

Now, t is isolated on one side, which brings us closer to finding its value.

Arithmetic operations are the building blocks of algebra. They include addition, subtraction, multiplication, and division. Knowing how to correctly perform these operations is essential for solving equations.

In the previous steps, we used subtraction to isolate the variable t. Now, we need to perform the subtraction to find the value of t:

t = 23067 - 1830.4

Subtract 1830.4 from 23067 as follows:

23067 - 1830.4 = 21236.6

Thus, the value of t is 21236.6.

When performing arithmetic operations, ensure each step is accurate. Double-check your calculations to avoid errors, especially when working with large numbers or decimals.