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Simplifying 3w + 1 + 2(5w + 3) = 46 Reorder the terms: 3w + 1 + 2(3 + 5w) = 46 3w + 1 + (3 * 2 + 5w * 2) = 46 3w + 1 + (6 + 10w) = 46 Reorder the terms: 1 + 6 + 3w + 10w = 46 Combine like terms: 1 + 6 = 7 7 + 3w + 10w = 46 Combine like terms: 3w + 10w = 13w 7 + 13w = 46 Solving 7 + 13w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13w = 46 + -7 Combine like terms: 7 + -7 = 0 0 + 13w = 46 + -7 13w = 46 + -7 Combine like terms: 46 + -7 = 39 13w = 39 Divide each side by '13'. w = 3 Simplifying w = 3
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