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Simplifying -3(c + -20) = 9(2c + -12) Reorder the terms: -3(-20 + c) = 9(2c + -12) (-20 * -3 + c * -3) = 9(2c + -12) (60 + -3c) = 9(2c + -12) Reorder the terms: 60 + -3c = 9(-12 + 2c) 60 + -3c = (-12 * 9 + 2c * 9) 60 + -3c = (-108 + 18c) Solving 60 + -3c = -108 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 60 + -3c + -18c = -108 + 18c + -18c Combine like terms: -3c + -18c = -21c 60 + -21c = -108 + 18c + -18c Combine like terms: 18c + -18c = 0 60 + -21c = -108 + 0 60 + -21c = -108 Add '-60' to each side of the equation. 60 + -60 + -21c = -108 + -60 Combine like terms: 60 + -60 = 0 0 + -21c = -108 + -60 -21c = -108 + -60 Combine like terms: -108 + -60 = -168 -21c = -168 Divide each side by '-21'. c = 8 Simplifying c = 8
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