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Simplifying 50 = 2(3w + 1) + w Reorder the terms: 50 = 2(1 + 3w) + w 50 = (1 * 2 + 3w * 2) + w 50 = (2 + 6w) + w Combine like terms: 6w + w = 7w 50 = 2 + 7w Solving 50 = 2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 50 + -7w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 50 + -7w = 2 + 0 50 + -7w = 2 Add '-50' to each side of the equation. 50 + -50 + -7w = 2 + -50 Combine like terms: 50 + -50 = 0 0 + -7w = 2 + -50 -7w = 2 + -50 Combine like terms: 2 + -50 = -48 -7w = -48 Divide each side by '-7'. w = 6.857142857 Simplifying w = 6.857142857
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