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Simplifying 17 + -3w + 5 = 6w + 5 + -2w Reorder the terms: 17 + 5 + -3w = 6w + 5 + -2w Combine like terms: 17 + 5 = 22 22 + -3w = 6w + 5 + -2w Reorder the terms: 22 + -3w = 5 + 6w + -2w Combine like terms: 6w + -2w = 4w 22 + -3w = 5 + 4w Solving 22 + -3w = 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. 22 + -3w + -4w = 5 + 4w + -4w Combine like terms: -3w + -4w = -7w 22 + -7w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 22 + -7w = 5 + 0 22 + -7w = 5 Add '-22' to each side of the equation. 22 + -22 + -7w = 5 + -22 Combine like terms: 22 + -22 = 0 0 + -7w = 5 + -22 -7w = 5 + -22 Combine like terms: 5 + -22 = -17 -7w = -17 Divide each side by '-7'. w = 2.428571429 Simplifying w = 2.428571429
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