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Simplifying 29.5 + -5c = 2(4.5c + 9) Reorder the terms: 29.5 + -5c = 2(9 + 4.5c) 29.5 + -5c = (9 * 2 + 4.5c * 2) 29.5 + -5c = (18 + 9c) Solving 29.5 + -5c = 18 + 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. 29.5 + -5c + -9c = 18 + 9c + -9c Combine like terms: -5c + -9c = -14c 29.5 + -14c = 18 + 9c + -9c Combine like terms: 9c + -9c = 0 29.5 + -14c = 18 + 0 29.5 + -14c = 18 Add '-29.5' to each side of the equation. 29.5 + -29.5 + -14c = 18 + -29.5 Combine like terms: 29.5 + -29.5 = 0.0 0.0 + -14c = 18 + -29.5 -14c = 18 + -29.5 Combine like terms: 18 + -29.5 = -11.5 -14c = -11.5 Divide each side by '-14'. c = 0.8214285714 Simplifying c = 0.8214285714
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