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Simplifying -2(w + 8) = 4w + 8 Reorder the terms: -2(8 + w) = 4w + 8 (8 * -2 + w * -2) = 4w + 8 (-16 + -2w) = 4w + 8 Reorder the terms: -16 + -2w = 8 + 4w Solving -16 + -2w = 8 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -16 + -2w + -4w = 8 + 4w + -4w Combine like terms: -2w + -4w = -6w -16 + -6w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + -6w = 8 + 0 -16 + -6w = 8 Add '16' to each side of the equation. -16 + 16 + -6w = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -6w = 8 + 16 -6w = 8 + 16 Combine like terms: 8 + 16 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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