2-7(m-2)=3(2m+5)

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Solution for 2-7(m-2)=3(2m+5) equation: 


Simplifying
2 + -7(m + -2) = 3(2m + 5)

Reorder the terms:
2 + -7(-2 + m) = 3(2m + 5)
2 + (-2 * -7 + m * -7) = 3(2m + 5)
2 + (14 + -7m) = 3(2m + 5)

Combine like terms: 2 + 14 = 16
16 + -7m = 3(2m + 5)

Reorder the terms:
16 + -7m = 3(5 + 2m)
16 + -7m = (5 * 3 + 2m * 3)
16 + -7m = (15 + 6m)

Solving
16 + -7m = 15 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
16 + -7m + -6m = 15 + 6m + -6m

Combine like terms: -7m + -6m = -13m
16 + -13m = 15 + 6m + -6m

Combine like terms: 6m + -6m = 0
16 + -13m = 15 + 0
16 + -13m = 15

Add '-16' to each side of the equation.
16 + -16 + -13m = 15 + -16

Combine like terms: 16 + -16 = 0
0 + -13m = 15 + -16
-13m = 15 + -16

Combine like terms: 15 + -16 = -1
-13m = -1

Divide each side by '-13'.
m = 0.07692307692

Simplifying
m = 0.07692307692

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