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Simplifying 33 = 5c + ((c + 1.50) * 4) Reorder the terms: 33 = 5c + ((1.50 + c) * 4) Reorder the terms for easier multiplication: 33 = 5c + (4(1.50 + c)) 33 = 5c + ((1.50 * 4 + c * 4)) 33 = 5c + ((6 + 4c)) 33 = 5c + (6 + 4c) Remove parenthesis around (6 + 4c) 33 = 5c + 6 + 4c Reorder the terms: 33 = 6 + 5c + 4c Combine like terms: 5c + 4c = 9c 33 = 6 + 9c Solving 33 = 6 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 33 + -9c = 6 + 9c + -9c Combine like terms: 9c + -9c = 0 33 + -9c = 6 + 0 33 + -9c = 6 Add '-33' to each side of the equation. 33 + -33 + -9c = 6 + -33 Combine like terms: 33 + -33 = 0 0 + -9c = 6 + -33 -9c = 6 + -33 Combine like terms: 6 + -33 = -27 -9c = -27 Divide each side by '-9'. c = 3 Simplifying c = 3
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