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Simplifying 7w + 17 = 3(w + -1) Reorder the terms: 17 + 7w = 3(w + -1) Reorder the terms: 17 + 7w = 3(-1 + w) 17 + 7w = (-1 * 3 + w * 3) 17 + 7w = (-3 + 3w) Solving 17 + 7w = -3 + 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 + 7w + -3w = -3 + 3w + -3w Combine like terms: 7w + -3w = 4w 17 + 4w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 17 + 4w = -3 + 0 17 + 4w = -3 Add '-17' to each side of the equation. 17 + -17 + 4w = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 4w = -3 + -17 4w = -3 + -17 Combine like terms: -3 + -17 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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