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Simplifying 7 + 4(w + -7) + 10w = 34 Reorder the terms: 7 + 4(-7 + w) + 10w = 34 7 + (-7 * 4 + w * 4) + 10w = 34 7 + (-28 + 4w) + 10w = 34 Combine like terms: 7 + -28 = -21 -21 + 4w + 10w = 34 Combine like terms: 4w + 10w = 14w -21 + 14w = 34 Solving -21 + 14w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 14w = 34 + 21 Combine like terms: -21 + 21 = 0 0 + 14w = 34 + 21 14w = 34 + 21 Combine like terms: 34 + 21 = 55 14w = 55 Divide each side by '14'. w = 3.928571429 Simplifying w = 3.928571429
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