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Simplifying 5w + 8 + -1w = 6w + -1(w + -4) Reorder the terms: 8 + 5w + -1w = 6w + -1(w + -4) Combine like terms: 5w + -1w = 4w 8 + 4w = 6w + -1(w + -4) Reorder the terms: 8 + 4w = 6w + -1(-4 + w) 8 + 4w = 6w + (-4 * -1 + w * -1) 8 + 4w = 6w + (4 + -1w) Reorder the terms: 8 + 4w = 4 + 6w + -1w Combine like terms: 6w + -1w = 5w 8 + 4w = 4 + 5w Solving 8 + 4w = 4 + 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. 8 + 4w + -5w = 4 + 5w + -5w Combine like terms: 4w + -5w = -1w 8 + -1w = 4 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -1w = 4 + 0 8 + -1w = 4 Add '-8' to each side of the equation. 8 + -8 + -1w = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 4 + -8 -1w = 4 + -8 Combine like terms: 4 + -8 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4
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