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Simplifying 250 = 2(w) + 2(3w + -15) Reorder the terms: 250 = 2w + 2(-15 + 3w) 250 = 2w + (-15 * 2 + 3w * 2) 250 = 2w + (-30 + 6w) Reorder the terms: 250 = -30 + 2w + 6w Combine like terms: 2w + 6w = 8w 250 = -30 + 8w Solving 250 = -30 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 250 + -8w = -30 + 8w + -8w Combine like terms: 8w + -8w = 0 250 + -8w = -30 + 0 250 + -8w = -30 Add '-250' to each side of the equation. 250 + -250 + -8w = -30 + -250 Combine like terms: 250 + -250 = 0 0 + -8w = -30 + -250 -8w = -30 + -250 Combine like terms: -30 + -250 = -280 -8w = -280 Divide each side by '-8'. w = 35 Simplifying w = 35
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