9c-3(6-5c)=(-2)(3c+9)

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Solution for 9c-3(6-5c)=(-2)(3c+9) equation:


Simplifying
9c + -3(6 + -5c) = (-2)(3c + 9)
9c + (6 * -3 + -5c * -3) = (-2)(3c + 9)
9c + (-18 + 15c) = (-2)(3c + 9)

Reorder the terms:
-18 + 9c + 15c = (-2)(3c + 9)

Combine like terms: 9c + 15c = 24c
-18 + 24c = (-2)(3c + 9)

Reorder the terms:
-18 + 24c = -2(9 + 3c)
-18 + 24c = (9 * -2 + 3c * -2)
-18 + 24c = (-18 + -6c)

Add '18' to each side of the equation.
-18 + 18 + 24c = -18 + 18 + -6c

Combine like terms: -18 + 18 = 0
0 + 24c = -18 + 18 + -6c
24c = -18 + 18 + -6c

Combine like terms: -18 + 18 = 0
24c = 0 + -6c
24c = -6c

Solving
24c = -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.
24c + 6c = -6c + 6c

Combine like terms: 24c + 6c = 30c
30c = -6c + 6c

Combine like terms: -6c + 6c = 0
30c = 0

Divide each side by '30'.
c = 0.0

Simplifying
c = 0.0

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