4m+10=8m-14

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Solution for 4m+10=8m-14 equation:


Simplifying
4m + 10 = 8m + -14

Reorder the terms:
10 + 4m = 8m + -14

Reorder the terms:
10 + 4m = -14 + 8m

Solving
10 + 4m = -14 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
10 + 4m + -8m = -14 + 8m + -8m

Combine like terms: 4m + -8m = -4m
10 + -4m = -14 + 8m + -8m

Combine like terms: 8m + -8m = 0
10 + -4m = -14 + 0
10 + -4m = -14

Add '-10' to each side of the equation.
10 + -10 + -4m = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -4m = -14 + -10
-4m = -14 + -10

Combine like terms: -14 + -10 = -24
-4m = -24

Divide each side by '-4'.
m = 6

Simplifying
m = 6

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