262.08=7(0.06m+26.90+0.20(26.90))

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Solution for 262.08=7(0.06m+26.90+0.20(26.90)) equation: 


Simplifying
262.08 = 7(0.06m + 26.90 + 0.20(26.90))

Multiply 0.20 * 26.90
262.08 = 7(0.06m + 26.90 + 5.38)

Reorder the terms:
262.08 = 7(26.90 + 5.38 + 0.06m)

Combine like terms: 26.90 + 5.38 = 32.28
262.08 = 7(32.28 + 0.06m)
262.08 = (32.28 * 7 + 0.06m * 7)
262.08 = (225.96 + 0.42m)

Solving
262.08 = 225.96 + 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.
262.08 + -0.42m = 225.96 + 0.42m + -0.42m

Combine like terms: 0.42m + -0.42m = 0.00
262.08 + -0.42m = 225.96 + 0.00
262.08 + -0.42m = 225.96

Add '-262.08' to each side of the equation.
262.08 + -262.08 + -0.42m = 225.96 + -262.08

Combine like terms: 262.08 + -262.08 = 0.00
0.00 + -0.42m = 225.96 + -262.08
-0.42m = 225.96 + -262.08

Combine like terms: 225.96 + -262.08 = -36.12
-0.42m = -36.12

Divide each side by '-0.42'.
m = 86

Simplifying
m = 86

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