10-4m=7m-23

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Solution for 10-4m=7m-23 equation:


Simplifying
10 + -4m = 7m + -23

Reorder the terms:
10 + -4m = -23 + 7m

Solving
10 + -4m = -23 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
10 + -4m + -7m = -23 + 7m + -7m

Combine like terms: -4m + -7m = -11m
10 + -11m = -23 + 7m + -7m

Combine like terms: 7m + -7m = 0
10 + -11m = -23 + 0
10 + -11m = -23

Add '-10' to each side of the equation.
10 + -10 + -11m = -23 + -10

Combine like terms: 10 + -10 = 0
0 + -11m = -23 + -10
-11m = -23 + -10

Combine like terms: -23 + -10 = -33
-11m = -33

Divide each side by '-11'.
m = 3

Simplifying
m = 3

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