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Simplifying 5(2 + -1c) = 4(c + -33) (2 * 5 + -1c * 5) = 4(c + -33) (10 + -5c) = 4(c + -33) Reorder the terms: 10 + -5c = 4(-33 + c) 10 + -5c = (-33 * 4 + c * 4) 10 + -5c = (-132 + 4c) Solving 10 + -5c = -132 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 10 + -5c + -4c = -132 + 4c + -4c Combine like terms: -5c + -4c = -9c 10 + -9c = -132 + 4c + -4c Combine like terms: 4c + -4c = 0 10 + -9c = -132 + 0 10 + -9c = -132 Add '-10' to each side of the equation. 10 + -10 + -9c = -132 + -10 Combine like terms: 10 + -10 = 0 0 + -9c = -132 + -10 -9c = -132 + -10 Combine like terms: -132 + -10 = -142 -9c = -142 Divide each side by '-9'. c = 15.77777778 Simplifying c = 15.77777778
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