0.2(6c-90)=-0.6(c-3)

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Solution for 0.2(6c-90)=-0.6(c-3) equation: 


Simplifying
0.2(6c + -90) = -0.6(c + -3)

Reorder the terms:
0.2(-90 + 6c) = -0.6(c + -3)
(-90 * 0.2 + 6c * 0.2) = -0.6(c + -3)
(-18 + 1.2c) = -0.6(c + -3)

Reorder the terms:
-18 + 1.2c = -0.6(-3 + c)
-18 + 1.2c = (-3 * -0.6 + c * -0.6)
-18 + 1.2c = (1.8 + -0.6c)

Solving
-18 + 1.2c = 1.8 + -0.6c

Solving for variable 'c'.

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

Add '0.6c' to each side of the equation.
-18 + 1.2c + 0.6c = 1.8 + -0.6c + 0.6c

Combine like terms: 1.2c + 0.6c = 1.8c
-18 + 1.8c = 1.8 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-18 + 1.8c = 1.8 + 0.0
-18 + 1.8c = 1.8

Add '18' to each side of the equation.
-18 + 18 + 1.8c = 1.8 + 18

Combine like terms: -18 + 18 = 0
0 + 1.8c = 1.8 + 18
1.8c = 1.8 + 18

Combine like terms: 1.8 + 18 = 19.8
1.8c = 19.8

Divide each side by '1.8'.
c = 11

Simplifying
c = 11

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