3(5c+7)-2(9c-3)=-6

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Solution for 3(5c+7)-2(9c-3)=-6 equation:


Simplifying
3(5c + 7) + -2(9c + -3) = -6

Reorder the terms:
3(7 + 5c) + -2(9c + -3) = -6
(7 * 3 + 5c * 3) + -2(9c + -3) = -6
(21 + 15c) + -2(9c + -3) = -6

Reorder the terms:
21 + 15c + -2(-3 + 9c) = -6
21 + 15c + (-3 * -2 + 9c * -2) = -6
21 + 15c + (6 + -18c) = -6

Reorder the terms:
21 + 6 + 15c + -18c = -6

Combine like terms: 21 + 6 = 27
27 + 15c + -18c = -6

Combine like terms: 15c + -18c = -3c
27 + -3c = -6

Solving
27 + -3c = -6

Solving for variable 'c'.

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

Add '-27' to each side of the equation.
27 + -27 + -3c = -6 + -27

Combine like terms: 27 + -27 = 0
0 + -3c = -6 + -27
-3c = -6 + -27

Combine like terms: -6 + -27 = -33
-3c = -33

Divide each side by '-3'.
c = 11

Simplifying
c = 11

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