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