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Simplifying -2 = -4w + 2(w + 7) Reorder the terms: -2 = -4w + 2(7 + w) -2 = -4w + (7 * 2 + w * 2) -2 = -4w + (14 + 2w) Reorder the terms: -2 = 14 + -4w + 2w Combine like terms: -4w + 2w = -2w -2 = 14 + -2w Solving -2 = 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. -2 + 2w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 2w = 14 + 0 -2 + 2w = 14 Add '2' to each side of the equation. -2 + 2 + 2w = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 14 + 2 2w = 14 + 2 Combine like terms: 14 + 2 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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