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Simplifying -2 + 7w = 10 + -1w Solving -2 + 7w = 10 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -2 + 7w + w = 10 + -1w + w Combine like terms: 7w + w = 8w -2 + 8w = 10 + -1w + w Combine like terms: -1w + w = 0 -2 + 8w = 10 + 0 -2 + 8w = 10 Add '2' to each side of the equation. -2 + 2 + 8w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 8w = 10 + 2 8w = 10 + 2 Combine like terms: 10 + 2 = 12 8w = 12 Divide each side by '8'. w = 1.5 Simplifying w = 1.5
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