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Simplifying 72 = 2(w + 17) Reorder the terms: 72 = 2(17 + w) 72 = (17 * 2 + w * 2) 72 = (34 + 2w) Solving 72 = 34 + 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. 72 + -2w = 34 + 2w + -2w Combine like terms: 2w + -2w = 0 72 + -2w = 34 + 0 72 + -2w = 34 Add '-72' to each side of the equation. 72 + -72 + -2w = 34 + -72 Combine like terms: 72 + -72 = 0 0 + -2w = 34 + -72 -2w = 34 + -72 Combine like terms: 34 + -72 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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