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Simplifying 2(c + 4) = 3(c + 5) Reorder the terms: 2(4 + c) = 3(c + 5) (4 * 2 + c * 2) = 3(c + 5) (8 + 2c) = 3(c + 5) Reorder the terms: 8 + 2c = 3(5 + c) 8 + 2c = (5 * 3 + c * 3) 8 + 2c = (15 + 3c) Solving 8 + 2c = 15 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 8 + 2c + -3c = 15 + 3c + -3c Combine like terms: 2c + -3c = -1c 8 + -1c = 15 + 3c + -3c Combine like terms: 3c + -3c = 0 8 + -1c = 15 + 0 8 + -1c = 15 Add '-8' to each side of the equation. 8 + -8 + -1c = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 15 + -8 -1c = 15 + -8 Combine like terms: 15 + -8 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7
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