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Simplifying 9(w + -8) = 2w + -2 Reorder the terms: 9(-8 + w) = 2w + -2 (-8 * 9 + w * 9) = 2w + -2 (-72 + 9w) = 2w + -2 Reorder the terms: -72 + 9w = -2 + 2w Solving -72 + 9w = -2 + 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. -72 + 9w + -2w = -2 + 2w + -2w Combine like terms: 9w + -2w = 7w -72 + 7w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 -72 + 7w = -2 + 0 -72 + 7w = -2 Add '72' to each side of the equation. -72 + 72 + 7w = -2 + 72 Combine like terms: -72 + 72 = 0 0 + 7w = -2 + 72 7w = -2 + 72 Combine like terms: -2 + 72 = 70 7w = 70 Divide each side by '7'. w = 10 Simplifying w = 10
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