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Simplifying 3(c + 1) = 4(2c + 3) Reorder the terms: 3(1 + c) = 4(2c + 3) (1 * 3 + c * 3) = 4(2c + 3) (3 + 3c) = 4(2c + 3) Reorder the terms: 3 + 3c = 4(3 + 2c) 3 + 3c = (3 * 4 + 2c * 4) 3 + 3c = (12 + 8c) Solving 3 + 3c = 12 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 3 + 3c + -8c = 12 + 8c + -8c Combine like terms: 3c + -8c = -5c 3 + -5c = 12 + 8c + -8c Combine like terms: 8c + -8c = 0 3 + -5c = 12 + 0 3 + -5c = 12 Add '-3' to each side of the equation. 3 + -3 + -5c = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 12 + -3 -5c = 12 + -3 Combine like terms: 12 + -3 = 9 -5c = 9 Divide each side by '-5'. c = -1.8 Simplifying c = -1.8
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