4(m+7)-2(5m+1)=-7(m+1)+4

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Solution for 4(m+7)-2(5m+1)=-7(m+1)+4 equation:


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

Reorder the terms:
4(7 + m) + -2(5m + 1) = -7(m + 1) + 4
(7 * 4 + m * 4) + -2(5m + 1) = -7(m + 1) + 4
(28 + 4m) + -2(5m + 1) = -7(m + 1) + 4

Reorder the terms:
28 + 4m + -2(1 + 5m) = -7(m + 1) + 4
28 + 4m + (1 * -2 + 5m * -2) = -7(m + 1) + 4
28 + 4m + (-2 + -10m) = -7(m + 1) + 4

Reorder the terms:
28 + -2 + 4m + -10m = -7(m + 1) + 4

Combine like terms: 28 + -2 = 26
26 + 4m + -10m = -7(m + 1) + 4

Combine like terms: 4m + -10m = -6m
26 + -6m = -7(m + 1) + 4

Reorder the terms:
26 + -6m = -7(1 + m) + 4
26 + -6m = (1 * -7 + m * -7) + 4
26 + -6m = (-7 + -7m) + 4

Reorder the terms:
26 + -6m = -7 + 4 + -7m

Combine like terms: -7 + 4 = -3
26 + -6m = -3 + -7m

Solving
26 + -6m = -3 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
26 + -6m + 7m = -3 + -7m + 7m

Combine like terms: -6m + 7m = 1m
26 + 1m = -3 + -7m + 7m

Combine like terms: -7m + 7m = 0
26 + 1m = -3 + 0
26 + 1m = -3

Add '-26' to each side of the equation.
26 + -26 + 1m = -3 + -26

Combine like terms: 26 + -26 = 0
0 + 1m = -3 + -26
1m = -3 + -26

Combine like terms: -3 + -26 = -29
1m = -29

Divide each side by '1'.
m = -29

Simplifying
m = -29

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