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Simplifying 6w + 9 = 5w + -10 Reorder the terms: 9 + 6w = 5w + -10 Reorder the terms: 9 + 6w = -10 + 5w Solving 9 + 6w = -10 + 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. 9 + 6w + -5w = -10 + 5w + -5w Combine like terms: 6w + -5w = 1w 9 + 1w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + 1w = -10 + 0 9 + 1w = -10 Add '-9' to each side of the equation. 9 + -9 + 1w = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = -10 + -9 1w = -10 + -9 Combine like terms: -10 + -9 = -19 1w = -19 Divide each side by '1'. w = -19 Simplifying w = -19
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