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Simplifying 6(5 + w) = 5(w + -4) (5 * 6 + w * 6) = 5(w + -4) (30 + 6w) = 5(w + -4) Reorder the terms: 30 + 6w = 5(-4 + w) 30 + 6w = (-4 * 5 + w * 5) 30 + 6w = (-20 + 5w) Solving 30 + 6w = -20 + 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. 30 + 6w + -5w = -20 + 5w + -5w Combine like terms: 6w + -5w = 1w 30 + 1w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + 1w = -20 + 0 30 + 1w = -20 Add '-30' to each side of the equation. 30 + -30 + 1w = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 1w = -20 + -30 1w = -20 + -30 Combine like terms: -20 + -30 = -50 1w = -50 Divide each side by '1'. w = -50 Simplifying w = -50
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