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Simplifying 5(2w + -6) = 2(w + 20) + 2 Reorder the terms: 5(-6 + 2w) = 2(w + 20) + 2 (-6 * 5 + 2w * 5) = 2(w + 20) + 2 (-30 + 10w) = 2(w + 20) + 2 Reorder the terms: -30 + 10w = 2(20 + w) + 2 -30 + 10w = (20 * 2 + w * 2) + 2 -30 + 10w = (40 + 2w) + 2 Reorder the terms: -30 + 10w = 40 + 2 + 2w Combine like terms: 40 + 2 = 42 -30 + 10w = 42 + 2w Solving -30 + 10w = 42 + 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 + 10w + -2w = 42 + 2w + -2w Combine like terms: 10w + -2w = 8w -30 + 8w = 42 + 2w + -2w Combine like terms: 2w + -2w = 0 -30 + 8w = 42 + 0 -30 + 8w = 42 Add '30' to each side of the equation. -30 + 30 + 8w = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 8w = 42 + 30 8w = 42 + 30 Combine like terms: 42 + 30 = 72 8w = 72 Divide each side by '8'. w = 9 Simplifying w = 9
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