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Simplifying 8w + -13 = w + 50 Reorder the terms: -13 + 8w = w + 50 Reorder the terms: -13 + 8w = 50 + w Solving -13 + 8w = 50 + 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 = 50 + w + -1w Combine like terms: 8w + -1w = 7w -13 + 7w = 50 + w + -1w Combine like terms: w + -1w = 0 -13 + 7w = 50 + 0 -13 + 7w = 50 Add '13' to each side of the equation. -13 + 13 + 7w = 50 + 13 Combine like terms: -13 + 13 = 0 0 + 7w = 50 + 13 7w = 50 + 13 Combine like terms: 50 + 13 = 63 7w = 63 Divide each side by '7'. w = 9 Simplifying w = 9
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