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Simplifying 6(5 + -1w) = 2(w + 5) (5 * 6 + -1w * 6) = 2(w + 5) (30 + -6w) = 2(w + 5) Reorder the terms: 30 + -6w = 2(5 + w) 30 + -6w = (5 * 2 + w * 2) 30 + -6w = (10 + 2w) Solving 30 + -6w = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 30 + -6w + -2w = 10 + 2w + -2w Combine like terms: -6w + -2w = -8w 30 + -8w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -8w = 10 + 0 30 + -8w = 10 Add '-30' to each side of the equation. 30 + -30 + -8w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -8w = 10 + -30 -8w = 10 + -30 Combine like terms: 10 + -30 = -20 -8w = -20 Divide each side by '-8'. w = 2.5 Simplifying w = 2.5
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