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Simplifying 10 + 9w = 6w + 7 Reorder the terms: 10 + 9w = 7 + 6w Solving 10 + 9w = 7 + 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. 10 + 9w + -6w = 7 + 6w + -6w Combine like terms: 9w + -6w = 3w 10 + 3w = 7 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + 3w = 7 + 0 10 + 3w = 7 Add '-10' to each side of the equation. 10 + -10 + 3w = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 7 + -10 3w = 7 + -10 Combine like terms: 7 + -10 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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