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Simplifying 7w + 13 + 2(w + -4) = 50 Reorder the terms: 7w + 13 + 2(-4 + w) = 50 7w + 13 + (-4 * 2 + w * 2) = 50 7w + 13 + (-8 + 2w) = 50 Reorder the terms: 13 + -8 + 7w + 2w = 50 Combine like terms: 13 + -8 = 5 5 + 7w + 2w = 50 Combine like terms: 7w + 2w = 9w 5 + 9w = 50 Solving 5 + 9w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9w = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 9w = 50 + -5 9w = 50 + -5 Combine like terms: 50 + -5 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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