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Simplifying 14w + 56 = 7(w + 2) + -14 Reorder the terms: 56 + 14w = 7(w + 2) + -14 Reorder the terms: 56 + 14w = 7(2 + w) + -14 56 + 14w = (2 * 7 + w * 7) + -14 56 + 14w = (14 + 7w) + -14 Reorder the terms: 56 + 14w = 14 + -14 + 7w Combine like terms: 14 + -14 = 0 56 + 14w = 0 + 7w 56 + 14w = 7w Solving 56 + 14w = 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. 56 + 14w + -7w = 7w + -7w Combine like terms: 14w + -7w = 7w 56 + 7w = 7w + -7w Combine like terms: 7w + -7w = 0 56 + 7w = 0 Add '-56' to each side of the equation. 56 + -56 + 7w = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 7w = 0 + -56 7w = 0 + -56 Combine like terms: 0 + -56 = -56 7w = -56 Divide each side by '7'. w = -8 Simplifying w = -8
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