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Simplifying 3(4c + -9) = 5(2c + -5) Reorder the terms: 3(-9 + 4c) = 5(2c + -5) (-9 * 3 + 4c * 3) = 5(2c + -5) (-27 + 12c) = 5(2c + -5) Reorder the terms: -27 + 12c = 5(-5 + 2c) -27 + 12c = (-5 * 5 + 2c * 5) -27 + 12c = (-25 + 10c) Solving -27 + 12c = -25 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -27 + 12c + -10c = -25 + 10c + -10c Combine like terms: 12c + -10c = 2c -27 + 2c = -25 + 10c + -10c Combine like terms: 10c + -10c = 0 -27 + 2c = -25 + 0 -27 + 2c = -25 Add '27' to each side of the equation. -27 + 27 + 2c = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = -25 + 27 2c = -25 + 27 Combine like terms: -25 + 27 = 2 2c = 2 Divide each side by '2'. c = 1 Simplifying c = 1
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