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Simplifying 17 + 6(-3w + 9) = 5(-4w + 13) Reorder the terms: 17 + 6(9 + -3w) = 5(-4w + 13) 17 + (9 * 6 + -3w * 6) = 5(-4w + 13) 17 + (54 + -18w) = 5(-4w + 13) Combine like terms: 17 + 54 = 71 71 + -18w = 5(-4w + 13) Reorder the terms: 71 + -18w = 5(13 + -4w) 71 + -18w = (13 * 5 + -4w * 5) 71 + -18w = (65 + -20w) Solving 71 + -18w = 65 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. 71 + -18w + 20w = 65 + -20w + 20w Combine like terms: -18w + 20w = 2w 71 + 2w = 65 + -20w + 20w Combine like terms: -20w + 20w = 0 71 + 2w = 65 + 0 71 + 2w = 65 Add '-71' to each side of the equation. 71 + -71 + 2w = 65 + -71 Combine like terms: 71 + -71 = 0 0 + 2w = 65 + -71 2w = 65 + -71 Combine like terms: 65 + -71 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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