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Find the value of the variable.

60=6t+12

Short Answer

Expert verified

The value of the variable is t=8.

Step by step solution

01

Step 1. Subtract 12.

To find the value of variable t in the equation 60=6t+12, subtract 12 from both sides of the equation.

60−12=6t+12−12

02

Step 2. Simplify the equation.

To simplify, remove all the brackets and combine the like terms.

60−12=6t+12−1248=6t

03

Step 3. Divide by 6.

To find the value of variable t in the equation 48=6t, divide both sides of the equation by 6.

486=6t6

04

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 6 on both sides.

6×86=6t68=t

05

Step 5. Verify the value.

In order to verify the value of t, substitute 8 for t into the equation60=6t+12.

60=6×8+1260=48+1260=60True

Hence, the value of the variable is t=8.

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