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Simplifying 6(2 + c) = 5(c + -1) (2 * 6 + c * 6) = 5(c + -1) (12 + 6c) = 5(c + -1) Reorder the terms: 12 + 6c = 5(-1 + c) 12 + 6c = (-1 * 5 + c * 5) 12 + 6c = (-5 + 5c) Solving 12 + 6c = -5 + 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. 12 + 6c + -5c = -5 + 5c + -5c Combine like terms: 6c + -5c = 1c 12 + 1c = -5 + 5c + -5c Combine like terms: 5c + -5c = 0 12 + 1c = -5 + 0 12 + 1c = -5 Add '-12' to each side of the equation. 12 + -12 + 1c = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = -5 + -12 1c = -5 + -12 Combine like terms: -5 + -12 = -17 1c = -17 Divide each side by '1'. c = -17 Simplifying c = -17
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