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Simplifying -33 = 3(4c + 5) Reorder the terms: -33 = 3(5 + 4c) -33 = (5 * 3 + 4c * 3) -33 = (15 + 12c) Solving -33 = 15 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -33 + -12c = 15 + 12c + -12c Combine like terms: 12c + -12c = 0 -33 + -12c = 15 + 0 -33 + -12c = 15 Add '33' to each side of the equation. -33 + 33 + -12c = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -12c = 15 + 33 -12c = 15 + 33 Combine like terms: 15 + 33 = 48 -12c = 48 Divide each side by '-12'. c = -4 Simplifying c = -4
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