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Simplifying 22 = 5(w + 8) + -7w Reorder the terms: 22 = 5(8 + w) + -7w 22 = (8 * 5 + w * 5) + -7w 22 = (40 + 5w) + -7w Combine like terms: 5w + -7w = -2w 22 = 40 + -2w Solving 22 = 40 + -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. 22 + 2w = 40 + -2w + 2w Combine like terms: -2w + 2w = 0 22 + 2w = 40 + 0 22 + 2w = 40 Add '-22' to each side of the equation. 22 + -22 + 2w = 40 + -22 Combine like terms: 22 + -22 = 0 0 + 2w = 40 + -22 2w = 40 + -22 Combine like terms: 40 + -22 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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