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Simplifying -4w + 19 = 5(w + -7) Reorder the terms: 19 + -4w = 5(w + -7) Reorder the terms: 19 + -4w = 5(-7 + w) 19 + -4w = (-7 * 5 + w * 5) 19 + -4w = (-35 + 5w) Solving 19 + -4w = -35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 19 + -4w + -5w = -35 + 5w + -5w Combine like terms: -4w + -5w = -9w 19 + -9w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 19 + -9w = -35 + 0 19 + -9w = -35 Add '-19' to each side of the equation. 19 + -19 + -9w = -35 + -19 Combine like terms: 19 + -19 = 0 0 + -9w = -35 + -19 -9w = -35 + -19 Combine like terms: -35 + -19 = -54 -9w = -54 Divide each side by '-9'. w = 6 Simplifying w = 6
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