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Simplifying 3(2 + 6c) = -2(9c + 5) (2 * 3 + 6c * 3) = -2(9c + 5) (6 + 18c) = -2(9c + 5) Reorder the terms: 6 + 18c = -2(5 + 9c) 6 + 18c = (5 * -2 + 9c * -2) 6 + 18c = (-10 + -18c) Solving 6 + 18c = -10 + -18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18c' to each side of the equation. 6 + 18c + 18c = -10 + -18c + 18c Combine like terms: 18c + 18c = 36c 6 + 36c = -10 + -18c + 18c Combine like terms: -18c + 18c = 0 6 + 36c = -10 + 0 6 + 36c = -10 Add '-6' to each side of the equation. 6 + -6 + 36c = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 36c = -10 + -6 36c = -10 + -6 Combine like terms: -10 + -6 = -16 36c = -16 Divide each side by '36'. c = -0.4444444444 Simplifying c = -0.4444444444
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