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Simplifying 7(2w + 8) = 7(w + -1) Reorder the terms: 7(8 + 2w) = 7(w + -1) (8 * 7 + 2w * 7) = 7(w + -1) (56 + 14w) = 7(w + -1) Reorder the terms: 56 + 14w = 7(-1 + w) 56 + 14w = (-1 * 7 + w * 7) 56 + 14w = (-7 + 7w) Solving 56 + 14w = -7 + 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 = -7 + 7w + -7w Combine like terms: 14w + -7w = 7w 56 + 7w = -7 + 7w + -7w Combine like terms: 7w + -7w = 0 56 + 7w = -7 + 0 56 + 7w = -7 Add '-56' to each side of the equation. 56 + -56 + 7w = -7 + -56 Combine like terms: 56 + -56 = 0 0 + 7w = -7 + -56 7w = -7 + -56 Combine like terms: -7 + -56 = -63 7w = -63 Divide each side by '7'. w = -9 Simplifying w = -9
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