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