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Simplifying -2(2c + -4) = 33(-12c + 24) Reorder the terms: -2(-4 + 2c) = 33(-12c + 24) (-4 * -2 + 2c * -2) = 33(-12c + 24) (8 + -4c) = 33(-12c + 24) Reorder the terms: 8 + -4c = 33(24 + -12c) 8 + -4c = (24 * 33 + -12c * 33) 8 + -4c = (792 + -396c) Solving 8 + -4c = 792 + -396c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '396c' to each side of the equation. 8 + -4c + 396c = 792 + -396c + 396c Combine like terms: -4c + 396c = 392c 8 + 392c = 792 + -396c + 396c Combine like terms: -396c + 396c = 0 8 + 392c = 792 + 0 8 + 392c = 792 Add '-8' to each side of the equation. 8 + -8 + 392c = 792 + -8 Combine like terms: 8 + -8 = 0 0 + 392c = 792 + -8 392c = 792 + -8 Combine like terms: 792 + -8 = 784 392c = 784 Divide each side by '392'. c = 2 Simplifying c = 2
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