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Simplifying 9(c + 2) = -9(c + -3) Reorder the terms: 9(2 + c) = -9(c + -3) (2 * 9 + c * 9) = -9(c + -3) (18 + 9c) = -9(c + -3) Reorder the terms: 18 + 9c = -9(-3 + c) 18 + 9c = (-3 * -9 + c * -9) 18 + 9c = (27 + -9c) Solving 18 + 9c = 27 + -9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9c' to each side of the equation. 18 + 9c + 9c = 27 + -9c + 9c Combine like terms: 9c + 9c = 18c 18 + 18c = 27 + -9c + 9c Combine like terms: -9c + 9c = 0 18 + 18c = 27 + 0 18 + 18c = 27 Add '-18' to each side of the equation. 18 + -18 + 18c = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 18c = 27 + -18 18c = 27 + -18 Combine like terms: 27 + -18 = 9 18c = 9 Divide each side by '18'. c = 0.5 Simplifying c = 0.5
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