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Simplifying 16 = 2(w + -6) + 2w Reorder the terms: 16 = 2(-6 + w) + 2w 16 = (-6 * 2 + w * 2) + 2w 16 = (-12 + 2w) + 2w Combine like terms: 2w + 2w = 4w 16 = -12 + 4w Solving 16 = -12 + 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 = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -4w = -12 + 0 16 + -4w = -12 Add '-16' to each side of the equation. 16 + -16 + -4w = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4w = -12 + -16 -4w = -12 + -16 Combine like terms: -12 + -16 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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