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Simplifying 8w + -1(3w + 17) = 3(w + -5) Reorder the terms: 8w + -1(17 + 3w) = 3(w + -5) 8w + (17 * -1 + 3w * -1) = 3(w + -5) 8w + (-17 + -3w) = 3(w + -5) Reorder the terms: -17 + 8w + -3w = 3(w + -5) Combine like terms: 8w + -3w = 5w -17 + 5w = 3(w + -5) Reorder the terms: -17 + 5w = 3(-5 + w) -17 + 5w = (-5 * 3 + w * 3) -17 + 5w = (-15 + 3w) Solving -17 + 5w = -15 + 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. -17 + 5w + -3w = -15 + 3w + -3w Combine like terms: 5w + -3w = 2w -17 + 2w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -17 + 2w = -15 + 0 -17 + 2w = -15 Add '17' to each side of the equation. -17 + 17 + 2w = -15 + 17 Combine like terms: -17 + 17 = 0 0 + 2w = -15 + 17 2w = -15 + 17 Combine like terms: -15 + 17 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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