3(0.5+0.05m)=0.02m+0.2

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Solution for 3(0.5+0.05m)=0.02m+0.2 equation: 


Simplifying
3(0.5 + 0.05m) = 0.02m + 0.2
(0.5 * 3 + 0.05m * 3) = 0.02m + 0.2
(1.5 + 0.15m) = 0.02m + 0.2

Reorder the terms:
1.5 + 0.15m = 0.2 + 0.02m

Solving
1.5 + 0.15m = 0.2 + 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.
1.5 + 0.15m + -0.02m = 0.2 + 0.02m + -0.02m

Combine like terms: 0.15m + -0.02m = 0.13m
1.5 + 0.13m = 0.2 + 0.02m + -0.02m

Combine like terms: 0.02m + -0.02m = 0.00
1.5 + 0.13m = 0.2 + 0.00
1.5 + 0.13m = 0.2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.13m = 0.2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.13m = 0.2 + -1.5
0.13m = 0.2 + -1.5

Combine like terms: 0.2 + -1.5 = -1.3
0.13m = -1.3

Divide each side by '0.13'.
m = -10

Simplifying
m = -10

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