3(3c-2)=4(3c-6)

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Solution for 3(3c-2)=4(3c-6) equation:


Simplifying
3(3c + -2) = 4(3c + -6)

Reorder the terms:
3(-2 + 3c) = 4(3c + -6)
(-2 * 3 + 3c * 3) = 4(3c + -6)
(-6 + 9c) = 4(3c + -6)

Reorder the terms:
-6 + 9c = 4(-6 + 3c)
-6 + 9c = (-6 * 4 + 3c * 4)
-6 + 9c = (-24 + 12c)

Solving
-6 + 9c = -24 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
-6 + 9c + -12c = -24 + 12c + -12c

Combine like terms: 9c + -12c = -3c
-6 + -3c = -24 + 12c + -12c

Combine like terms: 12c + -12c = 0
-6 + -3c = -24 + 0
-6 + -3c = -24

Add '6' to each side of the equation.
-6 + 6 + -3c = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -3c = -24 + 6
-3c = -24 + 6

Combine like terms: -24 + 6 = -18
-3c = -18

Divide each side by '-3'.
c = 6

Simplifying
c = 6

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