10m+3+m+8=6(6m-10)-4(7m-2)

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Solution for 10m+3+m+8=6(6m-10)-4(7m-2) equation: 


Simplifying
10m + 3 + m + 8 = 6(6m + -10) + -4(7m + -2)

Reorder the terms:
3 + 8 + 10m + m = 6(6m + -10) + -4(7m + -2)

Combine like terms: 3 + 8 = 11
11 + 10m + m = 6(6m + -10) + -4(7m + -2)

Combine like terms: 10m + m = 11m
11 + 11m = 6(6m + -10) + -4(7m + -2)

Reorder the terms:
11 + 11m = 6(-10 + 6m) + -4(7m + -2)
11 + 11m = (-10 * 6 + 6m * 6) + -4(7m + -2)
11 + 11m = (-60 + 36m) + -4(7m + -2)

Reorder the terms:
11 + 11m = -60 + 36m + -4(-2 + 7m)
11 + 11m = -60 + 36m + (-2 * -4 + 7m * -4)
11 + 11m = -60 + 36m + (8 + -28m)

Reorder the terms:
11 + 11m = -60 + 8 + 36m + -28m

Combine like terms: -60 + 8 = -52
11 + 11m = -52 + 36m + -28m

Combine like terms: 36m + -28m = 8m
11 + 11m = -52 + 8m

Solving
11 + 11m = -52 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
11 + 11m + -8m = -52 + 8m + -8m

Combine like terms: 11m + -8m = 3m
11 + 3m = -52 + 8m + -8m

Combine like terms: 8m + -8m = 0
11 + 3m = -52 + 0
11 + 3m = -52

Add '-11' to each side of the equation.
11 + -11 + 3m = -52 + -11

Combine like terms: 11 + -11 = 0
0 + 3m = -52 + -11
3m = -52 + -11

Combine like terms: -52 + -11 = -63
3m = -63

Divide each side by '3'.
m = -21

Simplifying
m = -21

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