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Simplifying -9w + 48 = -5(w + -8) Reorder the terms: 48 + -9w = -5(w + -8) Reorder the terms: 48 + -9w = -5(-8 + w) 48 + -9w = (-8 * -5 + w * -5) 48 + -9w = (40 + -5w) Solving 48 + -9w = 40 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 48 + -9w + 5w = 40 + -5w + 5w Combine like terms: -9w + 5w = -4w 48 + -4w = 40 + -5w + 5w Combine like terms: -5w + 5w = 0 48 + -4w = 40 + 0 48 + -4w = 40 Add '-48' to each side of the equation. 48 + -48 + -4w = 40 + -48 Combine like terms: 48 + -48 = 0 0 + -4w = 40 + -48 -4w = 40 + -48 Combine like terms: 40 + -48 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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