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Simplifying -9 = 2(w + 3) + -5w Reorder the terms: -9 = 2(3 + w) + -5w -9 = (3 * 2 + w * 2) + -5w -9 = (6 + 2w) + -5w Combine like terms: 2w + -5w = -3w -9 = 6 + -3w Solving -9 = 6 + -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 = 6 + -3w + 3w Combine like terms: -3w + 3w = 0 -9 + 3w = 6 + 0 -9 + 3w = 6 Add '9' to each side of the equation. -9 + 9 + 3w = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3w = 6 + 9 3w = 6 + 9 Combine like terms: 6 + 9 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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