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Simplifying -9 + 3w + 4 = -4w + 13 + -2w Reorder the terms: -9 + 4 + 3w = -4w + 13 + -2w Combine like terms: -9 + 4 = -5 -5 + 3w = -4w + 13 + -2w Reorder the terms: -5 + 3w = 13 + -4w + -2w Combine like terms: -4w + -2w = -6w -5 + 3w = 13 + -6w Solving -5 + 3w = 13 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -5 + 3w + 6w = 13 + -6w + 6w Combine like terms: 3w + 6w = 9w -5 + 9w = 13 + -6w + 6w Combine like terms: -6w + 6w = 0 -5 + 9w = 13 + 0 -5 + 9w = 13 Add '5' to each side of the equation. -5 + 5 + 9w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9w = 13 + 5 9w = 13 + 5 Combine like terms: 13 + 5 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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