12m+19-3(m+1)=8(2m-7)

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Solution for 12m+19-3(m+1)=8(2m-7) equation: 


Simplifying
12m + 19 + -3(m + 1) = 8(2m + -7)

Reorder the terms:
12m + 19 + -3(1 + m) = 8(2m + -7)
12m + 19 + (1 * -3 + m * -3) = 8(2m + -7)
12m + 19 + (-3 + -3m) = 8(2m + -7)

Reorder the terms:
19 + -3 + 12m + -3m = 8(2m + -7)

Combine like terms: 19 + -3 = 16
16 + 12m + -3m = 8(2m + -7)

Combine like terms: 12m + -3m = 9m
16 + 9m = 8(2m + -7)

Reorder the terms:
16 + 9m = 8(-7 + 2m)
16 + 9m = (-7 * 8 + 2m * 8)
16 + 9m = (-56 + 16m)

Solving
16 + 9m = -56 + 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
16 + 9m + -16m = -56 + 16m + -16m

Combine like terms: 9m + -16m = -7m
16 + -7m = -56 + 16m + -16m

Combine like terms: 16m + -16m = 0
16 + -7m = -56 + 0
16 + -7m = -56

Add '-16' to each side of the equation.
16 + -16 + -7m = -56 + -16

Combine like terms: 16 + -16 = 0
0 + -7m = -56 + -16
-7m = -56 + -16

Combine like terms: -56 + -16 = -72
-7m = -72

Divide each side by '-7'.
m = 10.28571429

Simplifying
m = 10.28571429

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