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Simplifying 4w + 17 = 6w + -17 Reorder the terms: 17 + 4w = 6w + -17 Reorder the terms: 17 + 4w = -17 + 6w Solving 17 + 4w = -17 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 17 + 4w + -6w = -17 + 6w + -6w Combine like terms: 4w + -6w = -2w 17 + -2w = -17 + 6w + -6w Combine like terms: 6w + -6w = 0 17 + -2w = -17 + 0 17 + -2w = -17 Add '-17' to each side of the equation. 17 + -17 + -2w = -17 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = -17 + -17 -2w = -17 + -17 Combine like terms: -17 + -17 = -34 -2w = -34 Divide each side by '-2'. w = 17 Simplifying w = 17
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