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Simplifying 6w + 5 = 9w + 2 Reorder the terms: 5 + 6w = 9w + 2 Reorder the terms: 5 + 6w = 2 + 9w Solving 5 + 6w = 2 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 5 + 6w + -9w = 2 + 9w + -9w Combine like terms: 6w + -9w = -3w 5 + -3w = 2 + 9w + -9w Combine like terms: 9w + -9w = 0 5 + -3w = 2 + 0 5 + -3w = 2 Add '-5' to each side of the equation. 5 + -5 + -3w = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 2 + -5 -3w = 2 + -5 Combine like terms: 2 + -5 = -3 -3w = -3 Divide each side by '-3'. w = 1 Simplifying w = 1
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