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Simplifying 6w + -1(8 + 2w) = 2(w + -4) 6w + (8 * -1 + 2w * -1) = 2(w + -4) 6w + (-8 + -2w) = 2(w + -4) Reorder the terms: -8 + 6w + -2w = 2(w + -4) Combine like terms: 6w + -2w = 4w -8 + 4w = 2(w + -4) Reorder the terms: -8 + 4w = 2(-4 + w) -8 + 4w = (-4 * 2 + w * 2) -8 + 4w = (-8 + 2w) Add '8' to each side of the equation. -8 + 8 + 4w = -8 + 8 + 2w Combine like terms: -8 + 8 = 0 0 + 4w = -8 + 8 + 2w 4w = -8 + 8 + 2w Combine like terms: -8 + 8 = 0 4w = 0 + 2w 4w = 2w Solving 4w = 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. 4w + -2w = 2w + -2w Combine like terms: 4w + -2w = 2w 2w = 2w + -2w Combine like terms: 2w + -2w = 0 2w = 0 Divide each side by '2'. w = 0 Simplifying w = 0
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