.3(c+.2)=.8c+.18-.4c

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Solution for .3(c+.2)=.8c+.18-.4c equation: 


Simplifying
0.3(c + 0.2) = 0.8c + 0.18 + -0.4c

Reorder the terms:
0.3(0.2 + c) = 0.8c + 0.18 + -0.4c
(0.2 * 0.3 + c * 0.3) = 0.8c + 0.18 + -0.4c
(0.06 + 0.3c) = 0.8c + 0.18 + -0.4c

Reorder the terms:
0.06 + 0.3c = 0.18 + 0.8c + -0.4c

Combine like terms: 0.8c + -0.4c = 0.4c
0.06 + 0.3c = 0.18 + 0.4c

Solving
0.06 + 0.3c = 0.18 + 0.4c

Solving for variable 'c'.

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

Add '-0.4c' to each side of the equation.
0.06 + 0.3c + -0.4c = 0.18 + 0.4c + -0.4c

Combine like terms: 0.3c + -0.4c = -0.1c
0.06 + -0.1c = 0.18 + 0.4c + -0.4c

Combine like terms: 0.4c + -0.4c = 0.0
0.06 + -0.1c = 0.18 + 0.0
0.06 + -0.1c = 0.18

Add '-0.06' to each side of the equation.
0.06 + -0.06 + -0.1c = 0.18 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + -0.1c = 0.18 + -0.06
-0.1c = 0.18 + -0.06

Combine like terms: 0.18 + -0.06 = 0.12
-0.1c = 0.12

Divide each side by '-0.1'.
c = -1.2

Simplifying
c = -1.2

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