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Simplifying -8w + 16 = -4(w + -9) Reorder the terms: 16 + -8w = -4(w + -9) Reorder the terms: 16 + -8w = -4(-9 + w) 16 + -8w = (-9 * -4 + w * -4) 16 + -8w = (36 + -4w) Solving 16 + -8w = 36 + -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 = 36 + -4w + 4w Combine like terms: -8w + 4w = -4w 16 + -4w = 36 + -4w + 4w Combine like terms: -4w + 4w = 0 16 + -4w = 36 + 0 16 + -4w = 36 Add '-16' to each side of the equation. 16 + -16 + -4w = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -4w = 36 + -16 -4w = 36 + -16 Combine like terms: 36 + -16 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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