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Simplifying 3c + 4.5 = 7.5 + -6c Reorder the terms: 4.5 + 3c = 7.5 + -6c Solving 4.5 + 3c = 7.5 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 4.5 + 3c + 6c = 7.5 + -6c + 6c Combine like terms: 3c + 6c = 9c 4.5 + 9c = 7.5 + -6c + 6c Combine like terms: -6c + 6c = 0 4.5 + 9c = 7.5 + 0 4.5 + 9c = 7.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 9c = 7.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 9c = 7.5 + -4.5 9c = 7.5 + -4.5 Combine like terms: 7.5 + -4.5 = 3 9c = 3 Divide each side by '9'. c = 0.3333333333 Simplifying c = 0.3333333333
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