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Simplifying 9c + -3(6 + -5c) = c + -2(3c + 9) 9c + (6 * -3 + -5c * -3) = c + -2(3c + 9) 9c + (-18 + 15c) = c + -2(3c + 9) Reorder the terms: -18 + 9c + 15c = c + -2(3c + 9) Combine like terms: 9c + 15c = 24c -18 + 24c = c + -2(3c + 9) Reorder the terms: -18 + 24c = c + -2(9 + 3c) -18 + 24c = c + (9 * -2 + 3c * -2) -18 + 24c = c + (-18 + -6c) Reorder the terms: -18 + 24c = -18 + c + -6c Combine like terms: c + -6c = -5c -18 + 24c = -18 + -5c Add '18' to each side of the equation. -18 + 18 + 24c = -18 + 18 + -5c Combine like terms: -18 + 18 = 0 0 + 24c = -18 + 18 + -5c 24c = -18 + 18 + -5c Combine like terms: -18 + 18 = 0 24c = 0 + -5c 24c = -5c Solving 24c = -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 24c + 5c = -5c + 5c Combine like terms: 24c + 5c = 29c 29c = -5c + 5c Combine like terms: -5c + 5c = 0 29c = 0 Divide each side by '29'. c = 0 Simplifying c = 0
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