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Simplifying 116 = 2w + 2(w + 5) Reorder the terms: 116 = 2w + 2(5 + w) 116 = 2w + (5 * 2 + w * 2) 116 = 2w + (10 + 2w) Reorder the terms: 116 = 10 + 2w + 2w Combine like terms: 2w + 2w = 4w 116 = 10 + 4w Solving 116 = 10 + 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. 116 + -4w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 116 + -4w = 10 + 0 116 + -4w = 10 Add '-116' to each side of the equation. 116 + -116 + -4w = 10 + -116 Combine like terms: 116 + -116 = 0 0 + -4w = 10 + -116 -4w = 10 + -116 Combine like terms: 10 + -116 = -106 -4w = -106 Divide each side by '-4'. w = 26.5 Simplifying w = 26.5
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