5*(m+1)-3*(2m+1)=4*(5-m)

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Solution for 5*(m+1)-3*(2m+1)=4*(5-m) equation: 


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

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

Reorder the terms:
5 + 5m + -3(1 + 2m) = 4(5 + -1m)
5 + 5m + (1 * -3 + 2m * -3) = 4(5 + -1m)
5 + 5m + (-3 + -6m) = 4(5 + -1m)

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

Combine like terms: 5 + -3 = 2
2 + 5m + -6m = 4(5 + -1m)

Combine like terms: 5m + -6m = -1m
2 + -1m = 4(5 + -1m)
2 + -1m = (5 * 4 + -1m * 4)
2 + -1m = (20 + -4m)

Solving
2 + -1m = 20 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
2 + -1m + 4m = 20 + -4m + 4m

Combine like terms: -1m + 4m = 3m
2 + 3m = 20 + -4m + 4m

Combine like terms: -4m + 4m = 0
2 + 3m = 20 + 0
2 + 3m = 20

Add '-2' to each side of the equation.
2 + -2 + 3m = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 20 + -2
3m = 20 + -2

Combine like terms: 20 + -2 = 18
3m = 18

Divide each side by '3'.
m = 6

Simplifying
m = 6

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