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Simplifying -3w + 17 + -4w = 20 + -7w + -3w Reorder the terms: 17 + -3w + -4w = 20 + -7w + -3w Combine like terms: -3w + -4w = -7w 17 + -7w = 20 + -7w + -3w Combine like terms: -7w + -3w = -10w 17 + -7w = 20 + -10w Solving 17 + -7w = 20 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 17 + -7w + 10w = 20 + -10w + 10w Combine like terms: -7w + 10w = 3w 17 + 3w = 20 + -10w + 10w Combine like terms: -10w + 10w = 0 17 + 3w = 20 + 0 17 + 3w = 20 Add '-17' to each side of the equation. 17 + -17 + 3w = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 3w = 20 + -17 3w = 20 + -17 Combine like terms: 20 + -17 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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