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Simplifying 3(c + -3) = 5(1.5 + c) Reorder the terms: 3(-3 + c) = 5(1.5 + c) (-3 * 3 + c * 3) = 5(1.5 + c) (-9 + 3c) = 5(1.5 + c) -9 + 3c = (1.5 * 5 + c * 5) -9 + 3c = (7.5 + 5c) Solving -9 + 3c = 7.5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -9 + 3c + -5c = 7.5 + 5c + -5c Combine like terms: 3c + -5c = -2c -9 + -2c = 7.5 + 5c + -5c Combine like terms: 5c + -5c = 0 -9 + -2c = 7.5 + 0 -9 + -2c = 7.5 Add '9' to each side of the equation. -9 + 9 + -2c = 7.5 + 9 Combine like terms: -9 + 9 = 0 0 + -2c = 7.5 + 9 -2c = 7.5 + 9 Combine like terms: 7.5 + 9 = 16.5 -2c = 16.5 Divide each side by '-2'. c = -8.25 Simplifying c = -8.25
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