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

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Solution for 8m-3(2m-1)+4(3-7m)+1=3-4(2m+2)+4 equation:


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

Reorder the terms:
8m + -3(-1 + 2m) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4
8m + (-1 * -3 + 2m * -3) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4
8m + (3 + -6m) + 4(3 + -7m) + 1 = 3 + -4(2m + 2) + 4
8m + 3 + -6m + (3 * 4 + -7m * 4) + 1 = 3 + -4(2m + 2) + 4
8m + 3 + -6m + (12 + -28m) + 1 = 3 + -4(2m + 2) + 4

Reorder the terms:
3 + 12 + 1 + 8m + -6m + -28m = 3 + -4(2m + 2) + 4

Combine like terms: 3 + 12 = 15
15 + 1 + 8m + -6m + -28m = 3 + -4(2m + 2) + 4

Combine like terms: 15 + 1 = 16
16 + 8m + -6m + -28m = 3 + -4(2m + 2) + 4

Combine like terms: 8m + -6m = 2m
16 + 2m + -28m = 3 + -4(2m + 2) + 4

Combine like terms: 2m + -28m = -26m
16 + -26m = 3 + -4(2m + 2) + 4

Reorder the terms:
16 + -26m = 3 + -4(2 + 2m) + 4
16 + -26m = 3 + (2 * -4 + 2m * -4) + 4
16 + -26m = 3 + (-8 + -8m) + 4

Reorder the terms:
16 + -26m = 3 + -8 + 4 + -8m

Combine like terms: 3 + -8 = -5
16 + -26m = -5 + 4 + -8m

Combine like terms: -5 + 4 = -1
16 + -26m = -1 + -8m

Solving
16 + -26m = -1 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
16 + -26m + 8m = -1 + -8m + 8m

Combine like terms: -26m + 8m = -18m
16 + -18m = -1 + -8m + 8m

Combine like terms: -8m + 8m = 0
16 + -18m = -1 + 0
16 + -18m = -1

Add '-16' to each side of the equation.
16 + -16 + -18m = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -18m = -1 + -16
-18m = -1 + -16

Combine like terms: -1 + -16 = -17
-18m = -17

Divide each side by '-18'.
m = 0.9444444444

Simplifying
m = 0.9444444444

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