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Simplifying -7w + -35 = 2(w + 5) Reorder the terms: -35 + -7w = 2(w + 5) Reorder the terms: -35 + -7w = 2(5 + w) -35 + -7w = (5 * 2 + w * 2) -35 + -7w = (10 + 2w) Solving -35 + -7w = 10 + 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. -35 + -7w + -2w = 10 + 2w + -2w Combine like terms: -7w + -2w = -9w -35 + -9w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -35 + -9w = 10 + 0 -35 + -9w = 10 Add '35' to each side of the equation. -35 + 35 + -9w = 10 + 35 Combine like terms: -35 + 35 = 0 0 + -9w = 10 + 35 -9w = 10 + 35 Combine like terms: 10 + 35 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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