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Simplifying 3w + 8 + -1w = 5w + -2(w + -4) Reorder the terms: 8 + 3w + -1w = 5w + -2(w + -4) Combine like terms: 3w + -1w = 2w 8 + 2w = 5w + -2(w + -4) Reorder the terms: 8 + 2w = 5w + -2(-4 + w) 8 + 2w = 5w + (-4 * -2 + w * -2) 8 + 2w = 5w + (8 + -2w) Reorder the terms: 8 + 2w = 8 + 5w + -2w Combine like terms: 5w + -2w = 3w 8 + 2w = 8 + 3w Add '-8' to each side of the equation. 8 + -8 + 2w = 8 + -8 + 3w Combine like terms: 8 + -8 = 0 0 + 2w = 8 + -8 + 3w 2w = 8 + -8 + 3w Combine like terms: 8 + -8 = 0 2w = 0 + 3w 2w = 3w Solving 2w = 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. 2w + -3w = 3w + -3w Combine like terms: 2w + -3w = -1w -1w = 3w + -3w Combine like terms: 3w + -3w = 0 -1w = 0 Divide each side by '-1'. w = 0 Simplifying w = 0
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