0.7(6c+3)=6(c-3)

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Solution for 0.7(6c+3)=6(c-3) equation: 


Simplifying
0.7(6c + 3) = 6(c + -3)

Reorder the terms:
0.7(3 + 6c) = 6(c + -3)
(3 * 0.7 + 6c * 0.7) = 6(c + -3)
(2.1 + 4.2c) = 6(c + -3)

Reorder the terms:
2.1 + 4.2c = 6(-3 + c)
2.1 + 4.2c = (-3 * 6 + c * 6)
2.1 + 4.2c = (-18 + 6c)

Solving
2.1 + 4.2c = -18 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
2.1 + 4.2c + -6c = -18 + 6c + -6c

Combine like terms: 4.2c + -6c = -1.8c
2.1 + -1.8c = -18 + 6c + -6c

Combine like terms: 6c + -6c = 0
2.1 + -1.8c = -18 + 0
2.1 + -1.8c = -18

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -1.8c = -18 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -1.8c = -18 + -2.1
-1.8c = -18 + -2.1

Combine like terms: -18 + -2.1 = -20.1
-1.8c = -20.1

Divide each side by '-1.8'.
c = 11.16666667

Simplifying
c = 11.16666667

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