0.25(8m-3)=.56(3m-4)+9

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Solution for 0.25(8m-3)=.56(3m-4)+9 equation:


Simplifying
0.25(8m + -3) = 0.56(3m + -4) + 9

Reorder the terms:
0.25(-3 + 8m) = 0.56(3m + -4) + 9
(-3 * 0.25 + 8m * 0.25) = 0.56(3m + -4) + 9
(-0.75 + 2m) = 0.56(3m + -4) + 9

Reorder the terms:
-0.75 + 2m = 0.56(-4 + 3m) + 9
-0.75 + 2m = (-4 * 0.56 + 3m * 0.56) + 9
-0.75 + 2m = (-2.24 + 1.68m) + 9

Reorder the terms:
-0.75 + 2m = -2.24 + 9 + 1.68m

Combine like terms: -2.24 + 9 = 6.76
-0.75 + 2m = 6.76 + 1.68m

Solving
-0.75 + 2m = 6.76 + 1.68m

Solving for variable 'm'.

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

Add '-1.68m' to each side of the equation.
-0.75 + 2m + -1.68m = 6.76 + 1.68m + -1.68m

Combine like terms: 2m + -1.68m = 0.32m
-0.75 + 0.32m = 6.76 + 1.68m + -1.68m

Combine like terms: 1.68m + -1.68m = 0.00
-0.75 + 0.32m = 6.76 + 0.00
-0.75 + 0.32m = 6.76

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 0.32m = 6.76 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 0.32m = 6.76 + 0.75
0.32m = 6.76 + 0.75

Combine like terms: 6.76 + 0.75 = 7.51
0.32m = 7.51

Divide each side by '0.32'.
m = 23.46875

Simplifying
m = 23.46875

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