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Simplifying 3w + 42 = 9w Reorder the terms: 42 + 3w = 9w Solving 42 + 3w = 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. 42 + 3w + -9w = 9w + -9w Combine like terms: 3w + -9w = -6w 42 + -6w = 9w + -9w Combine like terms: 9w + -9w = 0 42 + -6w = 0 Add '-42' to each side of the equation. 42 + -42 + -6w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6w = 0 + -42 -6w = 0 + -42 Combine like terms: 0 + -42 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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