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Simplifying -4w + -22 = 5(w + 1) Reorder the terms: -22 + -4w = 5(w + 1) Reorder the terms: -22 + -4w = 5(1 + w) -22 + -4w = (1 * 5 + w * 5) -22 + -4w = (5 + 5w) Solving -22 + -4w = 5 + 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. -22 + -4w + -5w = 5 + 5w + -5w Combine like terms: -4w + -5w = -9w -22 + -9w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 -22 + -9w = 5 + 0 -22 + -9w = 5 Add '22' to each side of the equation. -22 + 22 + -9w = 5 + 22 Combine like terms: -22 + 22 = 0 0 + -9w = 5 + 22 -9w = 5 + 22 Combine like terms: 5 + 22 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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