7(m+2)+4(2m-3)=47

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Solution for 7(m+2)+4(2m-3)=47 equation: 


Simplifying
7(m + 2) + 4(2m + -3) = 47

Reorder the terms:
7(2 + m) + 4(2m + -3) = 47
(2 * 7 + m * 7) + 4(2m + -3) = 47
(14 + 7m) + 4(2m + -3) = 47

Reorder the terms:
14 + 7m + 4(-3 + 2m) = 47
14 + 7m + (-3 * 4 + 2m * 4) = 47
14 + 7m + (-12 + 8m) = 47

Reorder the terms:
14 + -12 + 7m + 8m = 47

Combine like terms: 14 + -12 = 2
2 + 7m + 8m = 47

Combine like terms: 7m + 8m = 15m
2 + 15m = 47

Solving
2 + 15m = 47

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + -2 + 15m = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 15m = 47 + -2
15m = 47 + -2

Combine like terms: 47 + -2 = 45
15m = 45

Divide each side by '15'.
m = 3

Simplifying
m = 3

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