-3m-5-6(m-4)=5m-(7m-1)-4m+3

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Solution for -3m-5-6(m-4)=5m-(7m-1)-4m+3 equation:


Simplifying
-3m + -5 + -6(m + -4) = 5m + -1(7m + -1) + -4m + 3

Reorder the terms:
-3m + -5 + -6(-4 + m) = 5m + -1(7m + -1) + -4m + 3
-3m + -5 + (-4 * -6 + m * -6) = 5m + -1(7m + -1) + -4m + 3
-3m + -5 + (24 + -6m) = 5m + -1(7m + -1) + -4m + 3

Reorder the terms:
-5 + 24 + -3m + -6m = 5m + -1(7m + -1) + -4m + 3

Combine like terms: -5 + 24 = 19
19 + -3m + -6m = 5m + -1(7m + -1) + -4m + 3

Combine like terms: -3m + -6m = -9m
19 + -9m = 5m + -1(7m + -1) + -4m + 3

Reorder the terms:
19 + -9m = 5m + -1(-1 + 7m) + -4m + 3
19 + -9m = 5m + (-1 * -1 + 7m * -1) + -4m + 3
19 + -9m = 5m + (1 + -7m) + -4m + 3

Reorder the terms:
19 + -9m = 1 + 3 + 5m + -7m + -4m

Combine like terms: 1 + 3 = 4
19 + -9m = 4 + 5m + -7m + -4m

Combine like terms: 5m + -7m = -2m
19 + -9m = 4 + -2m + -4m

Combine like terms: -2m + -4m = -6m
19 + -9m = 4 + -6m

Solving
19 + -9m = 4 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
19 + -9m + 6m = 4 + -6m + 6m

Combine like terms: -9m + 6m = -3m
19 + -3m = 4 + -6m + 6m

Combine like terms: -6m + 6m = 0
19 + -3m = 4 + 0
19 + -3m = 4

Add '-19' to each side of the equation.
19 + -19 + -3m = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -3m = 4 + -19
-3m = 4 + -19

Combine like terms: 4 + -19 = -15
-3m = -15

Divide each side by '-3'.
m = 5

Simplifying
m = 5

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