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Simplifying 8(w + 4) = 3w + 17 Reorder the terms: 8(4 + w) = 3w + 17 (4 * 8 + w * 8) = 3w + 17 (32 + 8w) = 3w + 17 Reorder the terms: 32 + 8w = 17 + 3w Solving 32 + 8w = 17 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 32 + 8w + -3w = 17 + 3w + -3w Combine like terms: 8w + -3w = 5w 32 + 5w = 17 + 3w + -3w Combine like terms: 3w + -3w = 0 32 + 5w = 17 + 0 32 + 5w = 17 Add '-32' to each side of the equation. 32 + -32 + 5w = 17 + -32 Combine like terms: 32 + -32 = 0 0 + 5w = 17 + -32 5w = 17 + -32 Combine like terms: 17 + -32 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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