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Simplifying 120 + w + 60 + 15 + 20 = 130 + 35 + 2(w) + 0 Reorder the terms: 120 + 60 + 15 + 20 + w = 130 + 35 + 2(w) + 0 Combine like terms: 120 + 60 = 180 180 + 15 + 20 + w = 130 + 35 + 2(w) + 0 Combine like terms: 180 + 15 = 195 195 + 20 + w = 130 + 35 + 2(w) + 0 Combine like terms: 195 + 20 = 215 215 + w = 130 + 35 + 2(w) + 0 Reorder the terms: 215 + w = 130 + 35 + 0 + 2w Combine like terms: 130 + 35 = 165 215 + w = 165 + 0 + 2w Combine like terms: 165 + 0 = 165 215 + w = 165 + 2w Solving 215 + w = 165 + 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. 215 + w + -2w = 165 + 2w + -2w Combine like terms: w + -2w = -1w 215 + -1w = 165 + 2w + -2w Combine like terms: 2w + -2w = 0 215 + -1w = 165 + 0 215 + -1w = 165 Add '-215' to each side of the equation. 215 + -215 + -1w = 165 + -215 Combine like terms: 215 + -215 = 0 0 + -1w = 165 + -215 -1w = 165 + -215 Combine like terms: 165 + -215 = -50 -1w = -50 Divide each side by '-1'. w = 50 Simplifying w = 50
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