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Simplifying 7 = 6w + 34 + 3w Reorder the terms: 7 = 34 + 6w + 3w Combine like terms: 6w + 3w = 9w 7 = 34 + 9w Solving 7 = 34 + 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. 7 + -9w = 34 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -9w = 34 + 0 7 + -9w = 34 Add '-7' to each side of the equation. 7 + -7 + -9w = 34 + -7 Combine like terms: 7 + -7 = 0 0 + -9w = 34 + -7 -9w = 34 + -7 Combine like terms: 34 + -7 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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