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Simplifying -16 = 2(w + 7) + 8w Reorder the terms: -16 = 2(7 + w) + 8w -16 = (7 * 2 + w * 2) + 8w -16 = (14 + 2w) + 8w Combine like terms: 2w + 8w = 10w -16 = 14 + 10w Solving -16 = 14 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -16 + -10w = 14 + 10w + -10w Combine like terms: 10w + -10w = 0 -16 + -10w = 14 + 0 -16 + -10w = 14 Add '16' to each side of the equation. -16 + 16 + -10w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -10w = 14 + 16 -10w = 14 + 16 Combine like terms: 14 + 16 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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