-3m-49-(m-5)=2m-(7m-4)-8m+3

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Solution for -3m-49-(m-5)=2m-(7m-4)-8m+3 equation:


Simplifying
-3m + -49 + -1(m + -5) = 2m + -1(7m + -4) + -8m + 3

Reorder the terms:
-3m + -49 + -1(-5 + m) = 2m + -1(7m + -4) + -8m + 3
-3m + -49 + (-5 * -1 + m * -1) = 2m + -1(7m + -4) + -8m + 3
-3m + -49 + (5 + -1m) = 2m + -1(7m + -4) + -8m + 3

Reorder the terms:
-49 + 5 + -3m + -1m = 2m + -1(7m + -4) + -8m + 3

Combine like terms: -49 + 5 = -44
-44 + -3m + -1m = 2m + -1(7m + -4) + -8m + 3

Combine like terms: -3m + -1m = -4m
-44 + -4m = 2m + -1(7m + -4) + -8m + 3

Reorder the terms:
-44 + -4m = 2m + -1(-4 + 7m) + -8m + 3
-44 + -4m = 2m + (-4 * -1 + 7m * -1) + -8m + 3
-44 + -4m = 2m + (4 + -7m) + -8m + 3

Reorder the terms:
-44 + -4m = 4 + 3 + 2m + -7m + -8m

Combine like terms: 4 + 3 = 7
-44 + -4m = 7 + 2m + -7m + -8m

Combine like terms: 2m + -7m = -5m
-44 + -4m = 7 + -5m + -8m

Combine like terms: -5m + -8m = -13m
-44 + -4m = 7 + -13m

Solving
-44 + -4m = 7 + -13m

Solving for variable 'm'.

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

Add '13m' to each side of the equation.
-44 + -4m + 13m = 7 + -13m + 13m

Combine like terms: -4m + 13m = 9m
-44 + 9m = 7 + -13m + 13m

Combine like terms: -13m + 13m = 0
-44 + 9m = 7 + 0
-44 + 9m = 7

Add '44' to each side of the equation.
-44 + 44 + 9m = 7 + 44

Combine like terms: -44 + 44 = 0
0 + 9m = 7 + 44
9m = 7 + 44

Combine like terms: 7 + 44 = 51
9m = 51

Divide each side by '9'.
m = 5.666666667

Simplifying
m = 5.666666667

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