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Simplifying 2(5 + 6c) = 3c + 8 (5 * 2 + 6c * 2) = 3c + 8 (10 + 12c) = 3c + 8 Reorder the terms: 10 + 12c = 8 + 3c Solving 10 + 12c = 8 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 10 + 12c + -3c = 8 + 3c + -3c Combine like terms: 12c + -3c = 9c 10 + 9c = 8 + 3c + -3c Combine like terms: 3c + -3c = 0 10 + 9c = 8 + 0 10 + 9c = 8 Add '-10' to each side of the equation. 10 + -10 + 9c = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 9c = 8 + -10 9c = 8 + -10 Combine like terms: 8 + -10 = -2 9c = -2 Divide each side by '9'. c = -0.2222222222 Simplifying c = -0.2222222222
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