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Simplifying 2(w + 8) = 4w + 14 Reorder the terms: 2(8 + w) = 4w + 14 (8 * 2 + w * 2) = 4w + 14 (16 + 2w) = 4w + 14 Reorder the terms: 16 + 2w = 14 + 4w Solving 16 + 2w = 14 + 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. 16 + 2w + -4w = 14 + 4w + -4w Combine like terms: 2w + -4w = -2w 16 + -2w = 14 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -2w = 14 + 0 16 + -2w = 14 Add '-16' to each side of the equation. 16 + -16 + -2w = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -2w = 14 + -16 -2w = 14 + -16 Combine like terms: 14 + -16 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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