Q. 644 In the following exercises, solv... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 644 (page 299)

In the following exercises, solve each equation.
$\frac{1}{4} (12m-28) =6-2 (3m-1)$

Short Answer

Expert verified

$Thesimplifiedvalueis m =1.66$

Step by step solution

Step 1. Give information

The given equation is $\frac{1}{4} (12m-28) =6-2 (3m-1)$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve: \frac{1}{4} (12m-28) =6-2 (3m-1) \\ 鈬� \frac{12 m}{4} - \frac{28}{4} =6-2 脳 3m+2(Distribute) \\ 鈬� \frac{12 m}{4} - \frac{28}{4} =8- 6 m (Simplify) \\ 鈬� \frac{12 m}{4} +6m- \frac{28}{4} =8- 6 m + 6 m (Add6mtobothsides) \\ 鈬� \frac{12 m}{4} +6m- \frac{28}{4} =8(Simplify) \\ 鈬� \frac{12 m}{4} +6m- \frac{28}{4} + \frac{28}{4} =8+ \frac{28}{4} (Add \frac{28}{4} tobothsides) \\ 鈬� \frac{12 m}{4} +6m=8+ \frac{28}{4} (Simplify) \\ 鈬� \frac{12 m + 24 m}{4} = \frac{32 + 28}{4} (TakeLCDtobothsides) \\ 鈬� \frac{36}{4} m= \frac{60}{4} (Simplify) \\ 鈬� \frac{36}{4} m 脳 \frac{4}{36} = \frac{60}{4} 脳 \frac{4}{36} (Muliplybothsidesby \frac{4}{36}) \\ 鈬� m = \frac{60}{4} 脳 \frac{4}{36} (Simplify) \\ 鈬� m =1.66 \\ Thesimplifiedvalueis m =1.66 \end{array}$

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91影视

In the following exercises, solve each equation.
$\frac{1}{4} (12m-28) =6-2 (3m-1)$

Short Answer

Step by step solution

Step 1. Give information

Step 2. Explanation

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91影视

In the following exercises, solve each equation.1412m-28=6-23m-1

Short Answer

Step by step solution

Step 1. Give information

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

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In the following exercises, solve each equation.
$\frac{1}{4} (12m-28) =6-2 (3m-1)$