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Simplifying 7w + 2 = 8w + -1 Reorder the terms: 2 + 7w = 8w + -1 Reorder the terms: 2 + 7w = -1 + 8w Solving 2 + 7w = -1 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 2 + 7w + -8w = -1 + 8w + -8w Combine like terms: 7w + -8w = -1w 2 + -1w = -1 + 8w + -8w Combine like terms: 8w + -8w = 0 2 + -1w = -1 + 0 2 + -1w = -1 Add '-2' to each side of the equation. 2 + -2 + -1w = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = -1 + -2 -1w = -1 + -2 Combine like terms: -1 + -2 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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