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Simplifying -8(w + 2) = 4w + 8 Reorder the terms: -8(2 + w) = 4w + 8 (2 * -8 + w * -8) = 4w + 8 (-16 + -8w) = 4w + 8 Reorder the terms: -16 + -8w = 8 + 4w Solving -16 + -8w = 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 + -8w + -4w = 8 + 4w + -4w Combine like terms: -8w + -4w = -12w -16 + -12w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + -12w = 8 + 0 -16 + -12w = 8 Add '16' to each side of the equation. -16 + 16 + -12w = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -12w = 8 + 16 -12w = 8 + 16 Combine like terms: 8 + 16 = 24 -12w = 24 Divide each side by '-12'. w = -2 Simplifying w = -2
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