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Simplifying -2 + -6w = 7 + -5w Solving -2 + -6w = 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. -2 + -6w + 5w = 7 + -5w + 5w Combine like terms: -6w + 5w = -1w -2 + -1w = 7 + -5w + 5w Combine like terms: -5w + 5w = 0 -2 + -1w = 7 + 0 -2 + -1w = 7 Add '2' to each side of the equation. -2 + 2 + -1w = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 7 + 2 -1w = 7 + 2 Combine like terms: 7 + 2 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9
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