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Simplifying -19 = 7w + 2(w + -5) Reorder the terms: -19 = 7w + 2(-5 + w) -19 = 7w + (-5 * 2 + w * 2) -19 = 7w + (-10 + 2w) Reorder the terms: -19 = -10 + 7w + 2w Combine like terms: 7w + 2w = 9w -19 = -10 + 9w Solving -19 = -10 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -19 + -9w = -10 + 9w + -9w Combine like terms: 9w + -9w = 0 -19 + -9w = -10 + 0 -19 + -9w = -10 Add '19' to each side of the equation. -19 + 19 + -9w = -10 + 19 Combine like terms: -19 + 19 = 0 0 + -9w = -10 + 19 -9w = -10 + 19 Combine like terms: -10 + 19 = 9 -9w = 9 Divide each side by '-9'. w = -1 Simplifying w = -1
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