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Simplifying 9 = 4(w + 3) + -7w Reorder the terms: 9 = 4(3 + w) + -7w 9 = (3 * 4 + w * 4) + -7w 9 = (12 + 4w) + -7w Combine like terms: 4w + -7w = -3w 9 = 12 + -3w Solving 9 = 12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 9 + 3w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 3w = 12 + 0 9 + 3w = 12 Add '-9' to each side of the equation. 9 + -9 + 3w = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = 12 + -9 3w = 12 + -9 Combine like terms: 12 + -9 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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