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Simplifying 5(8 + 2c) = 3(3c + -5) (8 * 5 + 2c * 5) = 3(3c + -5) (40 + 10c) = 3(3c + -5) Reorder the terms: 40 + 10c = 3(-5 + 3c) 40 + 10c = (-5 * 3 + 3c * 3) 40 + 10c = (-15 + 9c) Solving 40 + 10c = -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. 40 + 10c + -9c = -15 + 9c + -9c Combine like terms: 10c + -9c = 1c 40 + 1c = -15 + 9c + -9c Combine like terms: 9c + -9c = 0 40 + 1c = -15 + 0 40 + 1c = -15 Add '-40' to each side of the equation. 40 + -40 + 1c = -15 + -40 Combine like terms: 40 + -40 = 0 0 + 1c = -15 + -40 1c = -15 + -40 Combine like terms: -15 + -40 = -55 1c = -55 Divide each side by '1'. c = -55 Simplifying c = -55
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