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

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


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

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

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

Reorder the terms:
1 + 7m + -3m = -1m + 16

Combine like terms: 7m + -3m = 4m
1 + 4m = -1m + 16

Reorder the terms:
1 + 4m = 16 + -1m

Solving
1 + 4m = 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.
1 + 4m + m = 16 + -1m + m

Combine like terms: 4m + m = 5m
1 + 5m = 16 + -1m + m

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

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

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

Combine like terms: 16 + -1 = 15
5m = 15

Divide each side by '5'.
m = 3

Simplifying
m = 3

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