-5m-27-3(m-2)=3m-(7m-1)-8m+6

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Solution for -5m-27-3(m-2)=3m-(7m-1)-8m+6 equation:


Simplifying
-5m + -27 + -3(m + -2) = 3m + -1(7m + -1) + -8m + 6

Reorder the terms:
-5m + -27 + -3(-2 + m) = 3m + -1(7m + -1) + -8m + 6
-5m + -27 + (-2 * -3 + m * -3) = 3m + -1(7m + -1) + -8m + 6
-5m + -27 + (6 + -3m) = 3m + -1(7m + -1) + -8m + 6

Reorder the terms:
-27 + 6 + -5m + -3m = 3m + -1(7m + -1) + -8m + 6

Combine like terms: -27 + 6 = -21
-21 + -5m + -3m = 3m + -1(7m + -1) + -8m + 6

Combine like terms: -5m + -3m = -8m
-21 + -8m = 3m + -1(7m + -1) + -8m + 6

Reorder the terms:
-21 + -8m = 3m + -1(-1 + 7m) + -8m + 6
-21 + -8m = 3m + (-1 * -1 + 7m * -1) + -8m + 6
-21 + -8m = 3m + (1 + -7m) + -8m + 6

Reorder the terms:
-21 + -8m = 1 + 6 + 3m + -7m + -8m

Combine like terms: 1 + 6 = 7
-21 + -8m = 7 + 3m + -7m + -8m

Combine like terms: 3m + -7m = -4m
-21 + -8m = 7 + -4m + -8m

Combine like terms: -4m + -8m = -12m
-21 + -8m = 7 + -12m

Solving
-21 + -8m = 7 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
-21 + -8m + 12m = 7 + -12m + 12m

Combine like terms: -8m + 12m = 4m
-21 + 4m = 7 + -12m + 12m

Combine like terms: -12m + 12m = 0
-21 + 4m = 7 + 0
-21 + 4m = 7

Add '21' to each side of the equation.
-21 + 21 + 4m = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 4m = 7 + 21
4m = 7 + 21

Combine like terms: 7 + 21 = 28
4m = 28

Divide each side by '4'.
m = 7

Simplifying
m = 7

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