4(m+3)=10m-6

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


Simplifying
4(m + 3) = 10m + -6

Reorder the terms:
4(3 + m) = 10m + -6
(3 * 4 + m * 4) = 10m + -6
(12 + 4m) = 10m + -6

Reorder the terms:
12 + 4m = -6 + 10m

Solving
12 + 4m = -6 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
12 + 4m + -10m = -6 + 10m + -10m

Combine like terms: 4m + -10m = -6m
12 + -6m = -6 + 10m + -10m

Combine like terms: 10m + -10m = 0
12 + -6m = -6 + 0
12 + -6m = -6

Add '-12' to each side of the equation.
12 + -12 + -6m = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6m = -6 + -12
-6m = -6 + -12

Combine like terms: -6 + -12 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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