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Simplifying 3(c + 4) = -5(c + 6) Reorder the terms: 3(4 + c) = -5(c + 6) (4 * 3 + c * 3) = -5(c + 6) (12 + 3c) = -5(c + 6) Reorder the terms: 12 + 3c = -5(6 + c) 12 + 3c = (6 * -5 + c * -5) 12 + 3c = (-30 + -5c) Solving 12 + 3c = -30 + -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 + 3c + 5c = -30 + -5c + 5c Combine like terms: 3c + 5c = 8c 12 + 8c = -30 + -5c + 5c Combine like terms: -5c + 5c = 0 12 + 8c = -30 + 0 12 + 8c = -30 Add '-12' to each side of the equation. 12 + -12 + 8c = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 8c = -30 + -12 8c = -30 + -12 Combine like terms: -30 + -12 = -42 8c = -42 Divide each side by '8'. c = -5.25 Simplifying c = -5.25
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