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Simplifying -4w + 11 = 3w + -17 Reorder the terms: 11 + -4w = 3w + -17 Reorder the terms: 11 + -4w = -17 + 3w Solving 11 + -4w = -17 + 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. 11 + -4w + -3w = -17 + 3w + -3w Combine like terms: -4w + -3w = -7w 11 + -7w = -17 + 3w + -3w Combine like terms: 3w + -3w = 0 11 + -7w = -17 + 0 11 + -7w = -17 Add '-11' to each side of the equation. 11 + -11 + -7w = -17 + -11 Combine like terms: 11 + -11 = 0 0 + -7w = -17 + -11 -7w = -17 + -11 Combine like terms: -17 + -11 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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