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Simplifying 2(c + 8) = 3(c + 5) Reorder the terms: 2(8 + c) = 3(c + 5) (8 * 2 + c * 2) = 3(c + 5) (16 + 2c) = 3(c + 5) Reorder the terms: 16 + 2c = 3(5 + c) 16 + 2c = (5 * 3 + c * 3) 16 + 2c = (15 + 3c) Solving 16 + 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. 16 + 2c + -3c = 15 + 3c + -3c Combine like terms: 2c + -3c = -1c 16 + -1c = 15 + 3c + -3c Combine like terms: 3c + -3c = 0 16 + -1c = 15 + 0 16 + -1c = 15 Add '-16' to each side of the equation. 16 + -16 + -1c = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -1c = 15 + -16 -1c = 15 + -16 Combine like terms: 15 + -16 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1
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