-2m+14-2(m-2)=7m-(5m-3)-4m+1

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Solution for -2m+14-2(m-2)=7m-(5m-3)-4m+1 equation: 


Simplifying
-2m + 14 + -2(m + -2) = 7m + -1(5m + -3) + -4m + 1

Reorder the terms:
-2m + 14 + -2(-2 + m) = 7m + -1(5m + -3) + -4m + 1
-2m + 14 + (-2 * -2 + m * -2) = 7m + -1(5m + -3) + -4m + 1
-2m + 14 + (4 + -2m) = 7m + -1(5m + -3) + -4m + 1

Reorder the terms:
14 + 4 + -2m + -2m = 7m + -1(5m + -3) + -4m + 1

Combine like terms: 14 + 4 = 18
18 + -2m + -2m = 7m + -1(5m + -3) + -4m + 1

Combine like terms: -2m + -2m = -4m
18 + -4m = 7m + -1(5m + -3) + -4m + 1

Reorder the terms:
18 + -4m = 7m + -1(-3 + 5m) + -4m + 1
18 + -4m = 7m + (-3 * -1 + 5m * -1) + -4m + 1
18 + -4m = 7m + (3 + -5m) + -4m + 1

Reorder the terms:
18 + -4m = 3 + 1 + 7m + -5m + -4m

Combine like terms: 3 + 1 = 4
18 + -4m = 4 + 7m + -5m + -4m

Combine like terms: 7m + -5m = 2m
18 + -4m = 4 + 2m + -4m

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

Solving
18 + -4m = 4 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
18 + -4m + 2m = 4 + -2m + 2m

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

Combine like terms: -2m + 2m = 0
18 + -2m = 4 + 0
18 + -2m = 4

Add '-18' to each side of the equation.
18 + -18 + -2m = 4 + -18

Combine like terms: 18 + -18 = 0
0 + -2m = 4 + -18
-2m = 4 + -18

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

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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