2(3m-42)+4(27-m)=94

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Solution for 2(3m-42)+4(27-m)=94 equation: 


Simplifying
2(3m + -42) + 4(27 + -1m) = 94

Reorder the terms:
2(-42 + 3m) + 4(27 + -1m) = 94
(-42 * 2 + 3m * 2) + 4(27 + -1m) = 94
(-84 + 6m) + 4(27 + -1m) = 94
-84 + 6m + (27 * 4 + -1m * 4) = 94
-84 + 6m + (108 + -4m) = 94

Reorder the terms:
-84 + 108 + 6m + -4m = 94

Combine like terms: -84 + 108 = 24
24 + 6m + -4m = 94

Combine like terms: 6m + -4m = 2m
24 + 2m = 94

Solving
24 + 2m = 94

Solving for variable 'm'.

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

Add '-24' to each side of the equation.
24 + -24 + 2m = 94 + -24

Combine like terms: 24 + -24 = 0
0 + 2m = 94 + -24
2m = 94 + -24

Combine like terms: 94 + -24 = 70
2m = 70

Divide each side by '2'.
m = 35

Simplifying
m = 35

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