191.70=6(0.07m+21.90+0.20(21.90))

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Solution for 191.70=6(0.07m+21.90+0.20(21.90)) equation: 


Simplifying
191.70 = 6(0.07m + 21.90 + 0.20(21.90))

Multiply 0.20 * 21.90
191.70 = 6(0.07m + 21.90 + 4.38)

Reorder the terms:
191.70 = 6(21.90 + 4.38 + 0.07m)

Combine like terms: 21.90 + 4.38 = 26.28
191.70 = 6(26.28 + 0.07m)
191.70 = (26.28 * 6 + 0.07m * 6)
191.70 = (157.68 + 0.42m)

Solving
191.70 = 157.68 + 0.42m

Solving for variable 'm'.

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

Add '-0.42m' to each side of the equation.
191.70 + -0.42m = 157.68 + 0.42m + -0.42m

Combine like terms: 0.42m + -0.42m = 0.00
191.70 + -0.42m = 157.68 + 0.00
191.70 + -0.42m = 157.68

Add '-191.70' to each side of the equation.
191.70 + -191.70 + -0.42m = 157.68 + -191.70

Combine like terms: 191.70 + -191.70 = 0.00
0.00 + -0.42m = 157.68 + -191.70
-0.42m = 157.68 + -191.70

Combine like terms: 157.68 + -191.70 = -34.02
-0.42m = -34.02

Divide each side by '-0.42'.
m = 81

Simplifying
m = 81

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