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