2(m-2)=4(m+8)-18

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Solution for 2(m-2)=4(m+8)-18 equation:


Simplifying
2(m + -2) = 4(m + 8) + -18

Reorder the terms:
2(-2 + m) = 4(m + 8) + -18
(-2 * 2 + m * 2) = 4(m + 8) + -18
(-4 + 2m) = 4(m + 8) + -18

Reorder the terms:
-4 + 2m = 4(8 + m) + -18
-4 + 2m = (8 * 4 + m * 4) + -18
-4 + 2m = (32 + 4m) + -18

Reorder the terms:
-4 + 2m = 32 + -18 + 4m

Combine like terms: 32 + -18 = 14
-4 + 2m = 14 + 4m

Solving
-4 + 2m = 14 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-4 + 2m + -4m = 14 + 4m + -4m

Combine like terms: 2m + -4m = -2m
-4 + -2m = 14 + 4m + -4m

Combine like terms: 4m + -4m = 0
-4 + -2m = 14 + 0
-4 + -2m = 14

Add '4' to each side of the equation.
-4 + 4 + -2m = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -2m = 14 + 4
-2m = 14 + 4

Combine like terms: 14 + 4 = 18
-2m = 18

Divide each side by '-2'.
m = -9

Simplifying
m = -9

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