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Simplifying -6 = 2(w + 2) + 8w Reorder the terms: -6 = 2(2 + w) + 8w -6 = (2 * 2 + w * 2) + 8w -6 = (4 + 2w) + 8w Combine like terms: 2w + 8w = 10w -6 = 4 + 10w Solving -6 = 4 + 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. -6 + -10w = 4 + 10w + -10w Combine like terms: 10w + -10w = 0 -6 + -10w = 4 + 0 -6 + -10w = 4 Add '6' to each side of the equation. -6 + 6 + -10w = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -10w = 4 + 6 -10w = 4 + 6 Combine like terms: 4 + 6 = 10 -10w = 10 Divide each side by '-10'. w = -1 Simplifying w = -1
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