2.5(m+1)+6=3(4+m)+(2m-1)

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Solution for 2.5(m+1)+6=3(4+m)+(2m-1) equation: 


Simplifying
2.5(m + 1) + 6 = 3(4 + m) + (2m + -1)

Reorder the terms:
2.5(1 + m) + 6 = 3(4 + m) + (2m + -1)
(1 * 2.5 + m * 2.5) + 6 = 3(4 + m) + (2m + -1)
(2.5 + 2.5m) + 6 = 3(4 + m) + (2m + -1)

Reorder the terms:
2.5 + 6 + 2.5m = 3(4 + m) + (2m + -1)

Combine like terms: 2.5 + 6 = 8.5
8.5 + 2.5m = 3(4 + m) + (2m + -1)
8.5 + 2.5m = (4 * 3 + m * 3) + (2m + -1)
8.5 + 2.5m = (12 + 3m) + (2m + -1)

Reorder the terms:
8.5 + 2.5m = 12 + 3m + (-1 + 2m)

Remove parenthesis around (-1 + 2m)
8.5 + 2.5m = 12 + 3m + -1 + 2m

Reorder the terms:
8.5 + 2.5m = 12 + -1 + 3m + 2m

Combine like terms: 12 + -1 = 11
8.5 + 2.5m = 11 + 3m + 2m

Combine like terms: 3m + 2m = 5m
8.5 + 2.5m = 11 + 5m

Solving
8.5 + 2.5m = 11 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
8.5 + 2.5m + -5m = 11 + 5m + -5m

Combine like terms: 2.5m + -5m = -2.5m
8.5 + -2.5m = 11 + 5m + -5m

Combine like terms: 5m + -5m = 0
8.5 + -2.5m = 11 + 0
8.5 + -2.5m = 11

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -2.5m = 11 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -2.5m = 11 + -8.5
-2.5m = 11 + -8.5

Combine like terms: 11 + -8.5 = 2.5
-2.5m = 2.5

Divide each side by '-2.5'.
m = -1

Simplifying
m = -1

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