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Simplifying -8(w + -9) = -4w + 48 Reorder the terms: -8(-9 + w) = -4w + 48 (-9 * -8 + w * -8) = -4w + 48 (72 + -8w) = -4w + 48 Reorder the terms: 72 + -8w = 48 + -4w Solving 72 + -8w = 48 + -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. 72 + -8w + 4w = 48 + -4w + 4w Combine like terms: -8w + 4w = -4w 72 + -4w = 48 + -4w + 4w Combine like terms: -4w + 4w = 0 72 + -4w = 48 + 0 72 + -4w = 48 Add '-72' to each side of the equation. 72 + -72 + -4w = 48 + -72 Combine like terms: 72 + -72 = 0 0 + -4w = 48 + -72 -4w = 48 + -72 Combine like terms: 48 + -72 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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