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Simplifying 17 + 7(w + 2) = 3w + -5 Reorder the terms: 17 + 7(2 + w) = 3w + -5 17 + (2 * 7 + w * 7) = 3w + -5 17 + (14 + 7w) = 3w + -5 Combine like terms: 17 + 14 = 31 31 + 7w = 3w + -5 Reorder the terms: 31 + 7w = -5 + 3w Solving 31 + 7w = -5 + 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. 31 + 7w + -3w = -5 + 3w + -3w Combine like terms: 7w + -3w = 4w 31 + 4w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 31 + 4w = -5 + 0 31 + 4w = -5 Add '-31' to each side of the equation. 31 + -31 + 4w = -5 + -31 Combine like terms: 31 + -31 = 0 0 + 4w = -5 + -31 4w = -5 + -31 Combine like terms: -5 + -31 = -36 4w = -36 Divide each side by '4'. w = -9 Simplifying w = -9
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