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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 = -2c 12 + -2c = 30 + 5c + -5c Combine like terms: 5c + -5c = 0 12 + -2c = 30 + 0 12 + -2c = 30 Add '-12' to each side of the equation. 12 + -12 + -2c = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 30 + -12 -2c = 30 + -12 Combine like terms: 30 + -12 = 18 -2c = 18 Divide each side by '-2'. c = -9 Simplifying c = -9
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