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Simplifying 46 = 2(w + -10) + 2w Reorder the terms: 46 = 2(-10 + w) + 2w 46 = (-10 * 2 + w * 2) + 2w 46 = (-20 + 2w) + 2w Combine like terms: 2w + 2w = 4w 46 = -20 + 4w Solving 46 = -20 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 46 + -4w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 46 + -4w = -20 + 0 46 + -4w = -20 Add '-46' to each side of the equation. 46 + -46 + -4w = -20 + -46 Combine like terms: 46 + -46 = 0 0 + -4w = -20 + -46 -4w = -20 + -46 Combine like terms: -20 + -46 = -66 -4w = -66 Divide each side by '-4'. w = 16.5 Simplifying w = 16.5
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