0.3(m+7)=0.002(5-m)+0.03

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Solution for 0.3(m+7)=0.002(5-m)+0.03 equation:


Simplifying
0.3(m + 7) = 0.002(5 + -1m) + 0.03

Reorder the terms:
0.3(7 + m) = 0.002(5 + -1m) + 0.03
(7 * 0.3 + m * 0.3) = 0.002(5 + -1m) + 0.03
(2.1 + 0.3m) = 0.002(5 + -1m) + 0.03
2.1 + 0.3m = (5 * 0.002 + -1m * 0.002) + 0.03
2.1 + 0.3m = (0.01 + -0.002m) + 0.03

Reorder the terms:
2.1 + 0.3m = 0.01 + 0.03 + -0.002m

Combine like terms: 0.01 + 0.03 = 0.04
2.1 + 0.3m = 0.04 + -0.002m

Solving
2.1 + 0.3m = 0.04 + -0.002m

Solving for variable 'm'.

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

Add '0.002m' to each side of the equation.
2.1 + 0.3m + 0.002m = 0.04 + -0.002m + 0.002m

Combine like terms: 0.3m + 0.002m = 0.302m
2.1 + 0.302m = 0.04 + -0.002m + 0.002m

Combine like terms: -0.002m + 0.002m = 0.000
2.1 + 0.302m = 0.04 + 0.000
2.1 + 0.302m = 0.04

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 0.302m = 0.04 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 0.302m = 0.04 + -2.1
0.302m = 0.04 + -2.1

Combine like terms: 0.04 + -2.1 = -2.06
0.302m = -2.06

Divide each side by '0.302'.
m = -6.821192053

Simplifying
m = -6.821192053

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