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Simplifying -8w + 5(w + 8) = 22 Reorder the terms: -8w + 5(8 + w) = 22 -8w + (8 * 5 + w * 5) = 22 -8w + (40 + 5w) = 22 Reorder the terms: 40 + -8w + 5w = 22 Combine like terms: -8w + 5w = -3w 40 + -3w = 22 Solving 40 + -3w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3w = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -3w = 22 + -40 -3w = 22 + -40 Combine like terms: 22 + -40 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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