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Simplifying 3w + 11 = 7w + 23 Reorder the terms: 11 + 3w = 7w + 23 Reorder the terms: 11 + 3w = 23 + 7w Solving 11 + 3w = 23 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 11 + 3w + -7w = 23 + 7w + -7w Combine like terms: 3w + -7w = -4w 11 + -4w = 23 + 7w + -7w Combine like terms: 7w + -7w = 0 11 + -4w = 23 + 0 11 + -4w = 23 Add '-11' to each side of the equation. 11 + -11 + -4w = 23 + -11 Combine like terms: 11 + -11 = 0 0 + -4w = 23 + -11 -4w = 23 + -11 Combine like terms: 23 + -11 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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