283.98=6(0.09m+30.80+.30(30.80))

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Solution for 283.98=6(0.09m+30.80+.30(30.80)) equation: 


Simplifying
283.98 = 6(0.09m + 30.80 + 0.30(30.80))

Multiply 0.30 * 30.80
283.98 = 6(0.09m + 30.80 + 9.24)

Reorder the terms:
283.98 = 6(30.80 + 9.24 + 0.09m)

Combine like terms: 30.80 + 9.24 = 40.04
283.98 = 6(40.04 + 0.09m)
283.98 = (40.04 * 6 + 0.09m * 6)
283.98 = (240.24 + 0.54m)

Solving
283.98 = 240.24 + 0.54m

Solving for variable 'm'.

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

Add '-0.54m' to each side of the equation.
283.98 + -0.54m = 240.24 + 0.54m + -0.54m

Combine like terms: 0.54m + -0.54m = 0.00
283.98 + -0.54m = 240.24 + 0.00
283.98 + -0.54m = 240.24

Add '-283.98' to each side of the equation.
283.98 + -283.98 + -0.54m = 240.24 + -283.98

Combine like terms: 283.98 + -283.98 = 0.00
0.00 + -0.54m = 240.24 + -283.98
-0.54m = 240.24 + -283.98

Combine like terms: 240.24 + -283.98 = -43.74
-0.54m = -43.74

Divide each side by '-0.54'.
m = 81

Simplifying
m = 81

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