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Simplifying 8w + -8 = w + 42 Reorder the terms: -8 + 8w = w + 42 Reorder the terms: -8 + 8w = 42 + w Solving -8 + 8w = 42 + 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. -8 + 8w + -1w = 42 + w + -1w Combine like terms: 8w + -1w = 7w -8 + 7w = 42 + w + -1w Combine like terms: w + -1w = 0 -8 + 7w = 42 + 0 -8 + 7w = 42 Add '8' to each side of the equation. -8 + 8 + 7w = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = 42 + 8 7w = 42 + 8 Combine like terms: 42 + 8 = 50 7w = 50 Divide each side by '7'. w = 7.142857143 Simplifying w = 7.142857143
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