2+6m-2(3+m)=5(m+3)+3

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Solution for 2+6m-2(3+m)=5(m+3)+3 equation: 


Simplifying
2 + 6m + -2(3 + m) = 5(m + 3) + 3
2 + 6m + (3 * -2 + m * -2) = 5(m + 3) + 3
2 + 6m + (-6 + -2m) = 5(m + 3) + 3

Reorder the terms:
2 + -6 + 6m + -2m = 5(m + 3) + 3

Combine like terms: 2 + -6 = -4
-4 + 6m + -2m = 5(m + 3) + 3

Combine like terms: 6m + -2m = 4m
-4 + 4m = 5(m + 3) + 3

Reorder the terms:
-4 + 4m = 5(3 + m) + 3
-4 + 4m = (3 * 5 + m * 5) + 3
-4 + 4m = (15 + 5m) + 3

Reorder the terms:
-4 + 4m = 15 + 3 + 5m

Combine like terms: 15 + 3 = 18
-4 + 4m = 18 + 5m

Solving
-4 + 4m = 18 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-4 + 4m + -5m = 18 + 5m + -5m

Combine like terms: 4m + -5m = -1m
-4 + -1m = 18 + 5m + -5m

Combine like terms: 5m + -5m = 0
-4 + -1m = 18 + 0
-4 + -1m = 18

Add '4' to each side of the equation.
-4 + 4 + -1m = 18 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 18 + 4
-1m = 18 + 4

Combine like terms: 18 + 4 = 22
-1m = 22

Divide each side by '-1'.
m = -22

Simplifying
m = -22

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