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Simplifying -12 + 4c + 9 + w + -2c + 4w = 0 Reorder the terms: -12 + 9 + 4c + -2c + w + 4w = 0 Combine like terms: -12 + 9 = -3 -3 + 4c + -2c + w + 4w = 0 Combine like terms: 4c + -2c = 2c -3 + 2c + w + 4w = 0 Combine like terms: w + 4w = 5w -3 + 2c + 5w = 0 Solving -3 + 2c + 5w = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2c + 3 + 5w = 0 + 3 Reorder the terms: -3 + 3 + 2c + 5w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2c + 5w = 0 + 3 2c + 5w = 0 + 3 Combine like terms: 0 + 3 = 3 2c + 5w = 3 Add '-5w' to each side of the equation. 2c + 5w + -5w = 3 + -5w Combine like terms: 5w + -5w = 0 2c + 0 = 3 + -5w 2c = 3 + -5w Divide each side by '2'. c = 1.5 + -2.5w Simplifying c = 1.5 + -2.5w
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