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Simplifying 4(2c + 1) = 3(3c + 5) Reorder the terms: 4(1 + 2c) = 3(3c + 5) (1 * 4 + 2c * 4) = 3(3c + 5) (4 + 8c) = 3(3c + 5) Reorder the terms: 4 + 8c = 3(5 + 3c) 4 + 8c = (5 * 3 + 3c * 3) 4 + 8c = (15 + 9c) Solving 4 + 8c = 15 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 4 + 8c + -9c = 15 + 9c + -9c Combine like terms: 8c + -9c = -1c 4 + -1c = 15 + 9c + -9c Combine like terms: 9c + -9c = 0 4 + -1c = 15 + 0 4 + -1c = 15 Add '-4' to each side of the equation. 4 + -4 + -1c = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 15 + -4 -1c = 15 + -4 Combine like terms: 15 + -4 = 11 -1c = 11 Divide each side by '-1'. c = -11 Simplifying c = -11
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