m^2-3m+28=4+4m+m^2-6+3m-2

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Solution for m^2-3m+28=4+4m+m^2-6+3m-2 equation: 


Simplifying
m2 + -3m + 28 = 4 + 4m + m2 + -6 + 3m + -2

Reorder the terms:
28 + -3m + m2 = 4 + 4m + m2 + -6 + 3m + -2

Reorder the terms:
28 + -3m + m2 = 4 + -6 + -2 + 4m + 3m + m2

Combine like terms: 4 + -6 = -2
28 + -3m + m2 = -2 + -2 + 4m + 3m + m2

Combine like terms: -2 + -2 = -4
28 + -3m + m2 = -4 + 4m + 3m + m2

Combine like terms: 4m + 3m = 7m
28 + -3m + m2 = -4 + 7m + m2

Add '-1m2' to each side of the equation.
28 + -3m + m2 + -1m2 = -4 + 7m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
28 + -3m + 0 = -4 + 7m + m2 + -1m2
28 + -3m = -4 + 7m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
28 + -3m = -4 + 7m + 0
28 + -3m = -4 + 7m

Solving
28 + -3m = -4 + 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.
28 + -3m + -7m = -4 + 7m + -7m

Combine like terms: -3m + -7m = -10m
28 + -10m = -4 + 7m + -7m

Combine like terms: 7m + -7m = 0
28 + -10m = -4 + 0
28 + -10m = -4

Add '-28' to each side of the equation.
28 + -28 + -10m = -4 + -28

Combine like terms: 28 + -28 = 0
0 + -10m = -4 + -28
-10m = -4 + -28

Combine like terms: -4 + -28 = -32
-10m = -32

Divide each side by '-10'.
m = 3.2

Simplifying
m = 3.2

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