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Simplifying 5w + 9 = 6w + 12 Reorder the terms: 9 + 5w = 6w + 12 Reorder the terms: 9 + 5w = 12 + 6w Solving 9 + 5w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 9 + 5w + -6w = 12 + 6w + -6w Combine like terms: 5w + -6w = -1w 9 + -1w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + -1w = 12 + 0 9 + -1w = 12 Add '-9' to each side of the equation. 9 + -9 + -1w = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 12 + -9 -1w = 12 + -9 Combine like terms: 12 + -9 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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