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

Reorder the terms:
12 + 2m = -12 + 5.5 + 4m

Combine like terms: -12 + 5.5 = -6.5
12 + 2m = -6.5 + 4m

Solving
12 + 2m = -6.5 + 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.
12 + 2m + -4m = -6.5 + 4m + -4m

Combine like terms: 2m + -4m = -2m
12 + -2m = -6.5 + 4m + -4m

Combine like terms: 4m + -4m = 0
12 + -2m = -6.5 + 0
12 + -2m = -6.5

Add '-12' to each side of the equation.
12 + -12 + -2m = -6.5 + -12

Combine like terms: 12 + -12 = 0
0 + -2m = -6.5 + -12
-2m = -6.5 + -12

Combine like terms: -6.5 + -12 = -18.5
-2m = -18.5

Divide each side by '-2'.
m = 9.25

Simplifying
m = 9.25

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