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Simplifying -8w + 5(w + 2) = 1 Reorder the terms: -8w + 5(2 + w) = 1 -8w + (2 * 5 + w * 5) = 1 -8w + (10 + 5w) = 1 Reorder the terms: 10 + -8w + 5w = 1 Combine like terms: -8w + 5w = -3w 10 + -3w = 1 Solving 10 + -3w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3w = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = 1 + -10 -3w = 1 + -10 Combine like terms: 1 + -10 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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