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Simplifying -7w + -8 = 2(w + 5) Reorder the terms: -8 + -7w = 2(w + 5) Reorder the terms: -8 + -7w = 2(5 + w) -8 + -7w = (5 * 2 + w * 2) -8 + -7w = (10 + 2w) Solving -8 + -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. -8 + -7w + -2w = 10 + 2w + -2w Combine like terms: -7w + -2w = -9w -8 + -9w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + -9w = 10 + 0 -8 + -9w = 10 Add '8' to each side of the equation. -8 + 8 + -9w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -9w = 10 + 8 -9w = 10 + 8 Combine like terms: 10 + 8 = 18 -9w = 18 Divide each side by '-9'. w = -2 Simplifying w = -2
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