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Simplifying 8w + 13 = w + 34 Reorder the terms: 13 + 8w = w + 34 Reorder the terms: 13 + 8w = 34 + w Solving 13 + 8w = 34 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 13 + 8w + -1w = 34 + w + -1w Combine like terms: 8w + -1w = 7w 13 + 7w = 34 + w + -1w Combine like terms: w + -1w = 0 13 + 7w = 34 + 0 13 + 7w = 34 Add '-13' to each side of the equation. 13 + -13 + 7w = 34 + -13 Combine like terms: 13 + -13 = 0 0 + 7w = 34 + -13 7w = 34 + -13 Combine like terms: 34 + -13 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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