291.52=8(0.04m+27.70+0.20(27.20))

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Solution for 291.52=8(0.04m+27.70+0.20(27.20)) equation: 


Simplifying
291.52 = 8(0.04m + 27.70 + 0.20(27.20))

Multiply 0.20 * 27.20
291.52 = 8(0.04m + 27.70 + 5.44)

Reorder the terms:
291.52 = 8(27.70 + 5.44 + 0.04m)

Combine like terms: 27.70 + 5.44 = 33.14
291.52 = 8(33.14 + 0.04m)
291.52 = (33.14 * 8 + 0.04m * 8)
291.52 = (265.12 + 0.32m)

Solving
291.52 = 265.12 + 0.32m

Solving for variable 'm'.

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

Add '-0.32m' to each side of the equation.
291.52 + -0.32m = 265.12 + 0.32m + -0.32m

Combine like terms: 0.32m + -0.32m = 0.00
291.52 + -0.32m = 265.12 + 0.00
291.52 + -0.32m = 265.12

Add '-291.52' to each side of the equation.
291.52 + -291.52 + -0.32m = 265.12 + -291.52

Combine like terms: 291.52 + -291.52 = 0.00
0.00 + -0.32m = 265.12 + -291.52
-0.32m = 265.12 + -291.52

Combine like terms: 265.12 + -291.52 = -26.4
-0.32m = -26.4

Divide each side by '-0.32'.
m = 82.5

Simplifying
m = 82.5

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