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Simplifying 5(c + 9) = 4(7 + w) + 3 Reorder the terms: 5(9 + c) = 4(7 + w) + 3 (9 * 5 + c * 5) = 4(7 + w) + 3 (45 + 5c) = 4(7 + w) + 3 45 + 5c = (7 * 4 + w * 4) + 3 45 + 5c = (28 + 4w) + 3 Reorder the terms: 45 + 5c = 28 + 3 + 4w Combine like terms: 28 + 3 = 31 45 + 5c = 31 + 4w Solving 45 + 5c = 31 + 4w Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5c = 31 + -45 + 4w Combine like terms: 45 + -45 = 0 0 + 5c = 31 + -45 + 4w 5c = 31 + -45 + 4w Combine like terms: 31 + -45 = -14 5c = -14 + 4w Divide each side by '5'. c = -2.8 + 0.8w Simplifying c = -2.8 + 0.8w
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