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Simplifying 4(3c + -5) = 5(2c + 4) Reorder the terms: 4(-5 + 3c) = 5(2c + 4) (-5 * 4 + 3c * 4) = 5(2c + 4) (-20 + 12c) = 5(2c + 4) Reorder the terms: -20 + 12c = 5(4 + 2c) -20 + 12c = (4 * 5 + 2c * 5) -20 + 12c = (20 + 10c) Solving -20 + 12c = 20 + 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. -20 + 12c + -10c = 20 + 10c + -10c Combine like terms: 12c + -10c = 2c -20 + 2c = 20 + 10c + -10c Combine like terms: 10c + -10c = 0 -20 + 2c = 20 + 0 -20 + 2c = 20 Add '20' to each side of the equation. -20 + 20 + 2c = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 20 + 20 2c = 20 + 20 Combine like terms: 20 + 20 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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