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Simplifying 116 = 2[(w + 4) + w] Reorder the terms: 116 = 2[(4 + w) + w] Remove parenthesis around (4 + w) 116 = 2[4 + w + w] Combine like terms: w + w = 2w 116 = 2[4 + 2w] 116 = [4 * 2 + 2w * 2] 116 = [8 + 4w] Solving 116 = 8 + 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 = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 116 + -4w = 8 + 0 116 + -4w = 8 Add '-116' to each side of the equation. 116 + -116 + -4w = 8 + -116 Combine like terms: 116 + -116 = 0 0 + -4w = 8 + -116 -4w = 8 + -116 Combine like terms: 8 + -116 = -108 -4w = -108 Divide each side by '-4'. w = 27 Simplifying w = 27
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