2(4.5+m)+3=4(m-3)5.5

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Solution for 2(4.5+m)+3=4(m-3)5.5 equation: 


Simplifying
2(4.5 + m) + 3 = 4(m + -3) * 5.5
(4.5 * 2 + m * 2) + 3 = 4(m + -3) * 5.5
(9 + 2m) + 3 = 4(m + -3) * 5.5

Reorder the terms:
9 + 3 + 2m = 4(m + -3) * 5.5

Combine like terms: 9 + 3 = 12
12 + 2m = 4(m + -3) * 5.5

Reorder the terms:
12 + 2m = 4(-3 + m) * 5.5

Reorder the terms for easier multiplication:
12 + 2m = 4 * 5.5(-3 + m)

Multiply 4 * 5.5
12 + 2m = 22(-3 + m)
12 + 2m = (-3 * 22 + m * 22)
12 + 2m = (-66 + 22m)

Solving
12 + 2m = -66 + 22m

Solving for variable 'm'.

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

Add '-22m' to each side of the equation.
12 + 2m + -22m = -66 + 22m + -22m

Combine like terms: 2m + -22m = -20m
12 + -20m = -66 + 22m + -22m

Combine like terms: 22m + -22m = 0
12 + -20m = -66 + 0
12 + -20m = -66

Add '-12' to each side of the equation.
12 + -12 + -20m = -66 + -12

Combine like terms: 12 + -12 = 0
0 + -20m = -66 + -12
-20m = -66 + -12

Combine like terms: -66 + -12 = -78
-20m = -78

Divide each side by '-20'.
m = 3.9

Simplifying
m = 3.9

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