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Simplifying 12 + -3(18c + 10) = 9(-5c + 17) Reorder the terms: 12 + -3(10 + 18c) = 9(-5c + 17) 12 + (10 * -3 + 18c * -3) = 9(-5c + 17) 12 + (-30 + -54c) = 9(-5c + 17) Combine like terms: 12 + -30 = -18 -18 + -54c = 9(-5c + 17) Reorder the terms: -18 + -54c = 9(17 + -5c) -18 + -54c = (17 * 9 + -5c * 9) -18 + -54c = (153 + -45c) Solving -18 + -54c = 153 + -45c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '45c' to each side of the equation. -18 + -54c + 45c = 153 + -45c + 45c Combine like terms: -54c + 45c = -9c -18 + -9c = 153 + -45c + 45c Combine like terms: -45c + 45c = 0 -18 + -9c = 153 + 0 -18 + -9c = 153 Add '18' to each side of the equation. -18 + 18 + -9c = 153 + 18 Combine like terms: -18 + 18 = 0 0 + -9c = 153 + 18 -9c = 153 + 18 Combine like terms: 153 + 18 = 171 -9c = 171 Divide each side by '-9'. c = -19 Simplifying c = -19
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