4.5(m+1)-2=4(m+3)

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Solution for 4.5(m+1)-2=4(m+3) equation: 


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

Reorder the terms:
4.5(1 + m) + -2 = 4(m + 3)
(1 * 4.5 + m * 4.5) + -2 = 4(m + 3)
(4.5 + 4.5m) + -2 = 4(m + 3)

Reorder the terms:
4.5 + -2 + 4.5m = 4(m + 3)

Combine like terms: 4.5 + -2 = 2.5
2.5 + 4.5m = 4(m + 3)

Reorder the terms:
2.5 + 4.5m = 4(3 + m)
2.5 + 4.5m = (3 * 4 + m * 4)
2.5 + 4.5m = (12 + 4m)

Solving
2.5 + 4.5m = 12 + 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.
2.5 + 4.5m + -4m = 12 + 4m + -4m

Combine like terms: 4.5m + -4m = 0.5m
2.5 + 0.5m = 12 + 4m + -4m

Combine like terms: 4m + -4m = 0
2.5 + 0.5m = 12 + 0
2.5 + 0.5m = 12

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5m = 12 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5m = 12 + -2.5
0.5m = 12 + -2.5

Combine like terms: 12 + -2.5 = 9.5
0.5m = 9.5

Divide each side by '0.5'.
m = 19

Simplifying
m = 19

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