7m-(4m-(-3m-5))=-m+16

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Solution for 7m-(4m-(-3m-5))=-m+16 equation: 


Simplifying
7m + -1(4m + -1(-3m + -5)) = -1m + 16

Reorder the terms:
7m + -1(4m + -1(-5 + -3m)) = -1m + 16
7m + -1(4m + (-5 * -1 + -3m * -1)) = -1m + 16
7m + -1(4m + (5 + 3m)) = -1m + 16

Reorder the terms:
7m + -1(5 + 4m + 3m) = -1m + 16

Combine like terms: 4m + 3m = 7m
7m + -1(5 + 7m) = -1m + 16
7m + (5 * -1 + 7m * -1) = -1m + 16
7m + (-5 + -7m) = -1m + 16

Reorder the terms:
-5 + 7m + -7m = -1m + 16

Combine like terms: 7m + -7m = 0
-5 + 0 = -1m + 16
-5 = -1m + 16

Reorder the terms:
-5 = 16 + -1m

Solving
-5 = 16 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
-5 + m = 16 + -1m + m

Combine like terms: -1m + m = 0
-5 + m = 16 + 0
-5 + m = 16

Add '5' to each side of the equation.
-5 + 5 + m = 16 + 5

Combine like terms: -5 + 5 = 0
0 + m = 16 + 5
m = 16 + 5

Combine like terms: 16 + 5 = 21
m = 21

Simplifying
m = 21

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