7(m-14)+20=5(m+3)-15

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Solution for 7(m-14)+20=5(m+3)-15 equation:


Simplifying
7(m + -14) + 20 = 5(m + 3) + -15

Reorder the terms:
7(-14 + m) + 20 = 5(m + 3) + -15
(-14 * 7 + m * 7) + 20 = 5(m + 3) + -15
(-98 + 7m) + 20 = 5(m + 3) + -15

Reorder the terms:
-98 + 20 + 7m = 5(m + 3) + -15

Combine like terms: -98 + 20 = -78
-78 + 7m = 5(m + 3) + -15

Reorder the terms:
-78 + 7m = 5(3 + m) + -15
-78 + 7m = (3 * 5 + m * 5) + -15
-78 + 7m = (15 + 5m) + -15

Reorder the terms:
-78 + 7m = 15 + -15 + 5m

Combine like terms: 15 + -15 = 0
-78 + 7m = 0 + 5m
-78 + 7m = 5m

Solving
-78 + 7m = 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-78 + 7m + -5m = 5m + -5m

Combine like terms: 7m + -5m = 2m
-78 + 2m = 5m + -5m

Combine like terms: 5m + -5m = 0
-78 + 2m = 0

Add '78' to each side of the equation.
-78 + 78 + 2m = 0 + 78

Combine like terms: -78 + 78 = 0
0 + 2m = 0 + 78
2m = 0 + 78

Combine like terms: 0 + 78 = 78
2m = 78

Divide each side by '2'.
m = 39

Simplifying
m = 39

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