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Simplifying 6w + 7(w + 5) = 347 Reorder the terms: 6w + 7(5 + w) = 347 6w + (5 * 7 + w * 7) = 347 6w + (35 + 7w) = 347 Reorder the terms: 35 + 6w + 7w = 347 Combine like terms: 6w + 7w = 13w 35 + 13w = 347 Solving 35 + 13w = 347 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 13w = 347 + -35 Combine like terms: 35 + -35 = 0 0 + 13w = 347 + -35 13w = 347 + -35 Combine like terms: 347 + -35 = 312 13w = 312 Divide each side by '13'. w = 24 Simplifying w = 24
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