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