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Simplifying 7 + 3w = 34 + -3w Solving 7 + 3w = 34 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 7 + 3w + 3w = 34 + -3w + 3w Combine like terms: 3w + 3w = 6w 7 + 6w = 34 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 6w = 34 + 0 7 + 6w = 34 Add '-7' to each side of the equation. 7 + -7 + 6w = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 34 + -7 6w = 34 + -7 Combine like terms: 34 + -7 = 27 6w = 27 Divide each side by '6'. w = 4.5 Simplifying w = 4.5
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