3(7m+5)+4(3m-8)=148

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Solution for 3(7m+5)+4(3m-8)=148 equation: 


Simplifying
3(7m + 5) + 4(3m + -8) = 148

Reorder the terms:
3(5 + 7m) + 4(3m + -8) = 148
(5 * 3 + 7m * 3) + 4(3m + -8) = 148
(15 + 21m) + 4(3m + -8) = 148

Reorder the terms:
15 + 21m + 4(-8 + 3m) = 148
15 + 21m + (-8 * 4 + 3m * 4) = 148
15 + 21m + (-32 + 12m) = 148

Reorder the terms:
15 + -32 + 21m + 12m = 148

Combine like terms: 15 + -32 = -17
-17 + 21m + 12m = 148

Combine like terms: 21m + 12m = 33m
-17 + 33m = 148

Solving
-17 + 33m = 148

Solving for variable 'm'.

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

Add '17' to each side of the equation.
-17 + 17 + 33m = 148 + 17

Combine like terms: -17 + 17 = 0
0 + 33m = 148 + 17
33m = 148 + 17

Combine like terms: 148 + 17 = 165
33m = 165

Divide each side by '33'.
m = 5

Simplifying
m = 5

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