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Simplifying 2(w + -5) = 89 + -7w Reorder the terms: 2(-5 + w) = 89 + -7w (-5 * 2 + w * 2) = 89 + -7w (-10 + 2w) = 89 + -7w Solving -10 + 2w = 89 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -10 + 2w + 7w = 89 + -7w + 7w Combine like terms: 2w + 7w = 9w -10 + 9w = 89 + -7w + 7w Combine like terms: -7w + 7w = 0 -10 + 9w = 89 + 0 -10 + 9w = 89 Add '10' to each side of the equation. -10 + 10 + 9w = 89 + 10 Combine like terms: -10 + 10 = 0 0 + 9w = 89 + 10 9w = 89 + 10 Combine like terms: 89 + 10 = 99 9w = 99 Divide each side by '9'. w = 11 Simplifying w = 11
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