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Simplifying 6(c + 2) = 5c + -8 Reorder the terms: 6(2 + c) = 5c + -8 (2 * 6 + c * 6) = 5c + -8 (12 + 6c) = 5c + -8 Reorder the terms: 12 + 6c = -8 + 5c Solving 12 + 6c = -8 + 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 = -8 + 5c + -5c Combine like terms: 6c + -5c = 1c 12 + 1c = -8 + 5c + -5c Combine like terms: 5c + -5c = 0 12 + 1c = -8 + 0 12 + 1c = -8 Add '-12' to each side of the equation. 12 + -12 + 1c = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = -8 + -12 1c = -8 + -12 Combine like terms: -8 + -12 = -20 1c = -20 Divide each side by '1'. c = -20 Simplifying c = -20
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