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Simplifying 4w + 8 + -1w = 4w + -2(w + -8) Reorder the terms: 8 + 4w + -1w = 4w + -2(w + -8) Combine like terms: 4w + -1w = 3w 8 + 3w = 4w + -2(w + -8) Reorder the terms: 8 + 3w = 4w + -2(-8 + w) 8 + 3w = 4w + (-8 * -2 + w * -2) 8 + 3w = 4w + (16 + -2w) Reorder the terms: 8 + 3w = 16 + 4w + -2w Combine like terms: 4w + -2w = 2w 8 + 3w = 16 + 2w Solving 8 + 3w = 16 + 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. 8 + 3w + -2w = 16 + 2w + -2w Combine like terms: 3w + -2w = 1w 8 + 1w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 1w = 16 + 0 8 + 1w = 16 Add '-8' to each side of the equation. 8 + -8 + 1w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 16 + -8 1w = 16 + -8 Combine like terms: 16 + -8 = 8 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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