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Simplifying -7(w + -5) = 2w + -19 Reorder the terms: -7(-5 + w) = 2w + -19 (-5 * -7 + w * -7) = 2w + -19 (35 + -7w) = 2w + -19 Reorder the terms: 35 + -7w = -19 + 2w Solving 35 + -7w = -19 + 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 = -19 + 2w + -2w Combine like terms: -7w + -2w = -9w 35 + -9w = -19 + 2w + -2w Combine like terms: 2w + -2w = 0 35 + -9w = -19 + 0 35 + -9w = -19 Add '-35' to each side of the equation. 35 + -35 + -9w = -19 + -35 Combine like terms: 35 + -35 = 0 0 + -9w = -19 + -35 -9w = -19 + -35 Combine like terms: -19 + -35 = -54 -9w = -54 Divide each side by '-9'. w = 6 Simplifying w = 6
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