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Simplifying -2(4c + 18) = 3(5c + 12) + -17c Reorder the terms: -2(18 + 4c) = 3(5c + 12) + -17c (18 * -2 + 4c * -2) = 3(5c + 12) + -17c (-36 + -8c) = 3(5c + 12) + -17c Reorder the terms: -36 + -8c = 3(12 + 5c) + -17c -36 + -8c = (12 * 3 + 5c * 3) + -17c -36 + -8c = (36 + 15c) + -17c Combine like terms: 15c + -17c = -2c -36 + -8c = 36 + -2c Solving -36 + -8c = 36 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -36 + -8c + 2c = 36 + -2c + 2c Combine like terms: -8c + 2c = -6c -36 + -6c = 36 + -2c + 2c Combine like terms: -2c + 2c = 0 -36 + -6c = 36 + 0 -36 + -6c = 36 Add '36' to each side of the equation. -36 + 36 + -6c = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -6c = 36 + 36 -6c = 36 + 36 Combine like terms: 36 + 36 = 72 -6c = 72 Divide each side by '-6'. c = -12 Simplifying c = -12
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