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Simplifying 7w + -17 = 4w + -5 Reorder the terms: -17 + 7w = 4w + -5 Reorder the terms: -17 + 7w = -5 + 4w Solving -17 + 7w = -5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -17 + 7w + -4w = -5 + 4w + -4w Combine like terms: 7w + -4w = 3w -17 + 3w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 -17 + 3w = -5 + 0 -17 + 3w = -5 Add '17' to each side of the equation. -17 + 17 + 3w = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 3w = -5 + 17 3w = -5 + 17 Combine like terms: -5 + 17 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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