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Simplifying 2(w + 23) + (4w + 7) = 180 Reorder the terms: 2(23 + w) + (4w + 7) = 180 (23 * 2 + w * 2) + (4w + 7) = 180 (46 + 2w) + (4w + 7) = 180 Reorder the terms: 46 + 2w + (7 + 4w) = 180 Remove parenthesis around (7 + 4w) 46 + 2w + 7 + 4w = 180 Reorder the terms: 46 + 7 + 2w + 4w = 180 Combine like terms: 46 + 7 = 53 53 + 2w + 4w = 180 Combine like terms: 2w + 4w = 6w 53 + 6w = 180 Solving 53 + 6w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 6w = 180 + -53 Combine like terms: 53 + -53 = 0 0 + 6w = 180 + -53 6w = 180 + -53 Combine like terms: 180 + -53 = 127 6w = 127 Divide each side by '6'. w = 21.16666667 Simplifying w = 21.16666667
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