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Simplifying 9(c + 2) = -6(c + 7) Reorder the terms: 9(2 + c) = -6(c + 7) (2 * 9 + c * 9) = -6(c + 7) (18 + 9c) = -6(c + 7) Reorder the terms: 18 + 9c = -6(7 + c) 18 + 9c = (7 * -6 + c * -6) 18 + 9c = (-42 + -6c) Solving 18 + 9c = -42 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 18 + 9c + 6c = -42 + -6c + 6c Combine like terms: 9c + 6c = 15c 18 + 15c = -42 + -6c + 6c Combine like terms: -6c + 6c = 0 18 + 15c = -42 + 0 18 + 15c = -42 Add '-18' to each side of the equation. 18 + -18 + 15c = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 15c = -42 + -18 15c = -42 + -18 Combine like terms: -42 + -18 = -60 15c = -60 Divide each side by '15'. c = -4 Simplifying c = -4
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