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Simplifying 5(w + 5) + -8w = 22 Reorder the terms: 5(5 + w) + -8w = 22 (5 * 5 + w * 5) + -8w = 22 (25 + 5w) + -8w = 22 Combine like terms: 5w + -8w = -3w 25 + -3w = 22 Solving 25 + -3w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3w = 22 + -25 Combine like terms: 25 + -25 = 0 0 + -3w = 22 + -25 -3w = 22 + -25 Combine like terms: 22 + -25 = -3 -3w = -3 Divide each side by '-3'. w = 1 Simplifying w = 1
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