15m-4(2m-6)=38

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Solution for 15m-4(2m-6)=38 equation:


Simplifying
15m + -4(2m + -6) = 38

Reorder the terms:
15m + -4(-6 + 2m) = 38
15m + (-6 * -4 + 2m * -4) = 38
15m + (24 + -8m) = 38

Reorder the terms:
24 + 15m + -8m = 38

Combine like terms: 15m + -8m = 7m
24 + 7m = 38

Solving
24 + 7m = 38

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 + 7m = 38 + -24

Combine like terms: 24 + -24 = 0
0 + 7m = 38 + -24
7m = 38 + -24

Combine like terms: 38 + -24 = 14
7m = 14

Divide each side by '7'.
m = 2

Simplifying
m = 2

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