2(m+5)-4(m+3)=6

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Solution for 2(m+5)-4(m+3)=6 equation: 


Simplifying
2(m + 5) + -4(m + 3) = 6

Reorder the terms:
2(5 + m) + -4(m + 3) = 6
(5 * 2 + m * 2) + -4(m + 3) = 6
(10 + 2m) + -4(m + 3) = 6

Reorder the terms:
10 + 2m + -4(3 + m) = 6
10 + 2m + (3 * -4 + m * -4) = 6
10 + 2m + (-12 + -4m) = 6

Reorder the terms:
10 + -12 + 2m + -4m = 6

Combine like terms: 10 + -12 = -2
-2 + 2m + -4m = 6

Combine like terms: 2m + -4m = -2m
-2 + -2m = 6

Solving
-2 + -2m = 6

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + 2 + -2m = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -2m = 6 + 2
-2m = 6 + 2

Combine like terms: 6 + 2 = 8
-2m = 8

Divide each side by '-2'.
m = -4

Simplifying
m = -4

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