-3(m-6)+4(m+1)=7m-10

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Solution for -3(m-6)+4(m+1)=7m-10 equation: 


Simplifying
-3(m + -6) + 4(m + 1) = 7m + -10

Reorder the terms:
-3(-6 + m) + 4(m + 1) = 7m + -10
(-6 * -3 + m * -3) + 4(m + 1) = 7m + -10
(18 + -3m) + 4(m + 1) = 7m + -10

Reorder the terms:
18 + -3m + 4(1 + m) = 7m + -10
18 + -3m + (1 * 4 + m * 4) = 7m + -10
18 + -3m + (4 + 4m) = 7m + -10

Reorder the terms:
18 + 4 + -3m + 4m = 7m + -10

Combine like terms: 18 + 4 = 22
22 + -3m + 4m = 7m + -10

Combine like terms: -3m + 4m = 1m
22 + 1m = 7m + -10

Reorder the terms:
22 + 1m = -10 + 7m

Solving
22 + 1m = -10 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
22 + 1m + -7m = -10 + 7m + -7m

Combine like terms: 1m + -7m = -6m
22 + -6m = -10 + 7m + -7m

Combine like terms: 7m + -7m = 0
22 + -6m = -10 + 0
22 + -6m = -10

Add '-22' to each side of the equation.
22 + -22 + -6m = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -6m = -10 + -22
-6m = -10 + -22

Combine like terms: -10 + -22 = -32
-6m = -32

Divide each side by '-6'.
m = 5.333333333

Simplifying
m = 5.333333333

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