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Simplifying -2w + 13 + 5w = 8 + -4w + -9 Reorder the terms: 13 + -2w + 5w = 8 + -4w + -9 Combine like terms: -2w + 5w = 3w 13 + 3w = 8 + -4w + -9 Reorder the terms: 13 + 3w = 8 + -9 + -4w Combine like terms: 8 + -9 = -1 13 + 3w = -1 + -4w Solving 13 + 3w = -1 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 13 + 3w + 4w = -1 + -4w + 4w Combine like terms: 3w + 4w = 7w 13 + 7w = -1 + -4w + 4w Combine like terms: -4w + 4w = 0 13 + 7w = -1 + 0 13 + 7w = -1 Add '-13' to each side of the equation. 13 + -13 + 7w = -1 + -13 Combine like terms: 13 + -13 = 0 0 + 7w = -1 + -13 7w = -1 + -13 Combine like terms: -1 + -13 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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