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Simplifying 2 = -6w + 2(w + 7) Reorder the terms: 2 = -6w + 2(7 + w) 2 = -6w + (7 * 2 + w * 2) 2 = -6w + (14 + 2w) Reorder the terms: 2 = 14 + -6w + 2w Combine like terms: -6w + 2w = -4w 2 = 14 + -4w Solving 2 = 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. 2 + 4w = 14 + -4w + 4w Combine like terms: -4w + 4w = 0 2 + 4w = 14 + 0 2 + 4w = 14 Add '-2' to each side of the equation. 2 + -2 + 4w = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 14 + -2 4w = 14 + -2 Combine like terms: 14 + -2 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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