3(m-1)+4(m+2)=52

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Solution for 3(m-1)+4(m+2)=52 equation:


Simplifying
3(m + -1) + 4(m + 2) = 52

Reorder the terms:
3(-1 + m) + 4(m + 2) = 52
(-1 * 3 + m * 3) + 4(m + 2) = 52
(-3 + 3m) + 4(m + 2) = 52

Reorder the terms:
-3 + 3m + 4(2 + m) = 52
-3 + 3m + (2 * 4 + m * 4) = 52
-3 + 3m + (8 + 4m) = 52

Reorder the terms:
-3 + 8 + 3m + 4m = 52

Combine like terms: -3 + 8 = 5
5 + 3m + 4m = 52

Combine like terms: 3m + 4m = 7m
5 + 7m = 52

Solving
5 + 7m = 52

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 7m = 52 + -5

Combine like terms: 5 + -5 = 0
0 + 7m = 52 + -5
7m = 52 + -5

Combine like terms: 52 + -5 = 47
7m = 47

Divide each side by '7'.
m = 6.714285714

Simplifying
m = 6.714285714

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