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Simplifying 7(8 + -5w) + 17 = 3 (8 * 7 + -5w * 7) + 17 = 3 (56 + -35w) + 17 = 3 Reorder the terms: 56 + 17 + -35w = 3 Combine like terms: 56 + 17 = 73 73 + -35w = 3 Solving 73 + -35w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + -35w = 3 + -73 Combine like terms: 73 + -73 = 0 0 + -35w = 3 + -73 -35w = 3 + -73 Combine like terms: 3 + -73 = -70 -35w = -70 Divide each side by '-35'. w = 2 Simplifying w = 2
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