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Simplifying 5(2 + 3w) + -2(5 + -7w) = 58 (2 * 5 + 3w * 5) + -2(5 + -7w) = 58 (10 + 15w) + -2(5 + -7w) = 58 10 + 15w + (5 * -2 + -7w * -2) = 58 10 + 15w + (-10 + 14w) = 58 Reorder the terms: 10 + -10 + 15w + 14w = 58 Combine like terms: 10 + -10 = 0 0 + 15w + 14w = 58 15w + 14w = 58 Combine like terms: 15w + 14w = 29w 29w = 58 Solving 29w = 58 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '29'. w = 2 Simplifying w = 2
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