14(6m+8)=-7(3m-29)

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Solution for 14(6m+8)=-7(3m-29) equation: 


Simplifying
14(6m + 8) = -7(3m + -29)

Reorder the terms:
14(8 + 6m) = -7(3m + -29)
(8 * 14 + 6m * 14) = -7(3m + -29)
(112 + 84m) = -7(3m + -29)

Reorder the terms:
112 + 84m = -7(-29 + 3m)
112 + 84m = (-29 * -7 + 3m * -7)
112 + 84m = (203 + -21m)

Solving
112 + 84m = 203 + -21m

Solving for variable 'm'.

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

Add '21m' to each side of the equation.
112 + 84m + 21m = 203 + -21m + 21m

Combine like terms: 84m + 21m = 105m
112 + 105m = 203 + -21m + 21m

Combine like terms: -21m + 21m = 0
112 + 105m = 203 + 0
112 + 105m = 203

Add '-112' to each side of the equation.
112 + -112 + 105m = 203 + -112

Combine like terms: 112 + -112 = 0
0 + 105m = 203 + -112
105m = 203 + -112

Combine like terms: 203 + -112 = 91
105m = 91

Divide each side by '105'.
m = 0.8666666667

Simplifying
m = 0.8666666667

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