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Simplifying 8w + -6 = 7 + -5w Reorder the terms: -6 + 8w = 7 + -5w Solving -6 + 8w = 7 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -6 + 8w + 5w = 7 + -5w + 5w Combine like terms: 8w + 5w = 13w -6 + 13w = 7 + -5w + 5w Combine like terms: -5w + 5w = 0 -6 + 13w = 7 + 0 -6 + 13w = 7 Add '6' to each side of the equation. -6 + 6 + 13w = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13w = 7 + 6 13w = 7 + 6 Combine like terms: 7 + 6 = 13 13w = 13 Divide each side by '13'. w = 1 Simplifying w = 1
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