.03(m+7)=.02(5-m)+.03

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Solution for .03(m+7)=.02(5-m)+.03 equation: 


Simplifying
0.03(m + 7) = 0.02(5 + -1m) + 0.03

Reorder the terms:
0.03(7 + m) = 0.02(5 + -1m) + 0.03
(7 * 0.03 + m * 0.03) = 0.02(5 + -1m) + 0.03
(0.21 + 0.03m) = 0.02(5 + -1m) + 0.03
0.21 + 0.03m = (5 * 0.02 + -1m * 0.02) + 0.03
0.21 + 0.03m = (0.1 + -0.02m) + 0.03

Reorder the terms:
0.21 + 0.03m = 0.1 + 0.03 + -0.02m

Combine like terms: 0.1 + 0.03 = 0.13
0.21 + 0.03m = 0.13 + -0.02m

Solving
0.21 + 0.03m = 0.13 + -0.02m

Solving for variable 'm'.

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

Add '0.02m' to each side of the equation.
0.21 + 0.03m + 0.02m = 0.13 + -0.02m + 0.02m

Combine like terms: 0.03m + 0.02m = 0.05m
0.21 + 0.05m = 0.13 + -0.02m + 0.02m

Combine like terms: -0.02m + 0.02m = 0.00
0.21 + 0.05m = 0.13 + 0.00
0.21 + 0.05m = 0.13

Add '-0.21' to each side of the equation.
0.21 + -0.21 + 0.05m = 0.13 + -0.21

Combine like terms: 0.21 + -0.21 = 0.00
0.00 + 0.05m = 0.13 + -0.21
0.05m = 0.13 + -0.21

Combine like terms: 0.13 + -0.21 = -0.08
0.05m = -0.08

Divide each side by '0.05'.
m = -1.6

Simplifying
m = -1.6

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