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Simplifying 3w + 17 = 11 + -3w Reorder the terms: 17 + 3w = 11 + -3w Solving 17 + 3w = 11 + -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 + 3w + 3w = 11 + -3w + 3w Combine like terms: 3w + 3w = 6w 17 + 6w = 11 + -3w + 3w Combine like terms: -3w + 3w = 0 17 + 6w = 11 + 0 17 + 6w = 11 Add '-17' to each side of the equation. 17 + -17 + 6w = 11 + -17 Combine like terms: 17 + -17 = 0 0 + 6w = 11 + -17 6w = 11 + -17 Combine like terms: 11 + -17 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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