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Simplifying 6(c + 2) = 5(1 + -3c) Reorder the terms: 6(2 + c) = 5(1 + -3c) (2 * 6 + c * 6) = 5(1 + -3c) (12 + 6c) = 5(1 + -3c) 12 + 6c = (1 * 5 + -3c * 5) 12 + 6c = (5 + -15c) Solving 12 + 6c = 5 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. 12 + 6c + 15c = 5 + -15c + 15c Combine like terms: 6c + 15c = 21c 12 + 21c = 5 + -15c + 15c Combine like terms: -15c + 15c = 0 12 + 21c = 5 + 0 12 + 21c = 5 Add '-12' to each side of the equation. 12 + -12 + 21c = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 21c = 5 + -12 21c = 5 + -12 Combine like terms: 5 + -12 = -7 21c = -7 Divide each side by '21'. c = -0.3333333333 Simplifying c = -0.3333333333
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