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Simplifying 16 = 2(w + 2) + -6w Reorder the terms: 16 = 2(2 + w) + -6w 16 = (2 * 2 + w * 2) + -6w 16 = (4 + 2w) + -6w Combine like terms: 2w + -6w = -4w 16 = 4 + -4w Solving 16 = 4 + -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 + 4w = 4 + -4w + 4w Combine like terms: -4w + 4w = 0 16 + 4w = 4 + 0 16 + 4w = 4 Add '-16' to each side of the equation. 16 + -16 + 4w = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 4w = 4 + -16 4w = 4 + -16 Combine like terms: 4 + -16 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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