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Simplifying 4(w + 4) = 2w + 14 Reorder the terms: 4(4 + w) = 2w + 14 (4 * 4 + w * 4) = 2w + 14 (16 + 4w) = 2w + 14 Reorder the terms: 16 + 4w = 14 + 2w Solving 16 + 4w = 14 + 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. 16 + 4w + -2w = 14 + 2w + -2w Combine like terms: 4w + -2w = 2w 16 + 2w = 14 + 2w + -2w Combine like terms: 2w + -2w = 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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