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Simplifying 6(3 + c) = 5(c + -2) (3 * 6 + c * 6) = 5(c + -2) (18 + 6c) = 5(c + -2) Reorder the terms: 18 + 6c = 5(-2 + c) 18 + 6c = (-2 * 5 + c * 5) 18 + 6c = (-10 + 5c) Solving 18 + 6c = -10 + 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. 18 + 6c + -5c = -10 + 5c + -5c Combine like terms: 6c + -5c = 1c 18 + 1c = -10 + 5c + -5c Combine like terms: 5c + -5c = 0 18 + 1c = -10 + 0 18 + 1c = -10 Add '-18' to each side of the equation. 18 + -18 + 1c = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 1c = -10 + -18 1c = -10 + -18 Combine like terms: -10 + -18 = -28 1c = -28 Divide each side by '1'. c = -28 Simplifying c = -28
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