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Simplifying -2w + 48 = -5(w + -6) Reorder the terms: 48 + -2w = -5(w + -6) Reorder the terms: 48 + -2w = -5(-6 + w) 48 + -2w = (-6 * -5 + w * -5) 48 + -2w = (30 + -5w) Solving 48 + -2w = 30 + -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 + -2w + 5w = 30 + -5w + 5w Combine like terms: -2w + 5w = 3w 48 + 3w = 30 + -5w + 5w Combine like terms: -5w + 5w = 0 48 + 3w = 30 + 0 48 + 3w = 30 Add '-48' to each side of the equation. 48 + -48 + 3w = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 3w = 30 + -48 3w = 30 + -48 Combine like terms: 30 + -48 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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