0.08+0.24(2m-3)+1=0.6(8+m)

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Solution for 0.08+0.24(2m-3)+1=0.6(8+m) equation: 


Simplifying
0.08 + 0.24(2m + -3) + 1 = 0.6(8 + m)

Reorder the terms:
0.08 + 0.24(-3 + 2m) + 1 = 0.6(8 + m)
0.08 + (-3 * 0.24 + 2m * 0.24) + 1 = 0.6(8 + m)
0.08 + (-0.72 + 0.48m) + 1 = 0.6(8 + m)

Reorder the terms:
0.08 + -0.72 + 1 + 0.48m = 0.6(8 + m)

Combine like terms: 0.08 + -0.72 = -0.64
-0.64 + 1 + 0.48m = 0.6(8 + m)

Combine like terms: -0.64 + 1 = 0.36
0.36 + 0.48m = 0.6(8 + m)
0.36 + 0.48m = (8 * 0.6 + m * 0.6)
0.36 + 0.48m = (4.8 + 0.6m)

Solving
0.36 + 0.48m = 4.8 + 0.6m

Solving for variable 'm'.

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

Add '-0.6m' to each side of the equation.
0.36 + 0.48m + -0.6m = 4.8 + 0.6m + -0.6m

Combine like terms: 0.48m + -0.6m = -0.12m
0.36 + -0.12m = 4.8 + 0.6m + -0.6m

Combine like terms: 0.6m + -0.6m = 0.0
0.36 + -0.12m = 4.8 + 0.0
0.36 + -0.12m = 4.8

Add '-0.36' to each side of the equation.
0.36 + -0.36 + -0.12m = 4.8 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -0.12m = 4.8 + -0.36
-0.12m = 4.8 + -0.36

Combine like terms: 4.8 + -0.36 = 4.44
-0.12m = 4.44

Divide each side by '-0.12'.
m = -37

Simplifying
m = -37

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