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Simplifying 8(7 + w) = 7(w + -3) (7 * 8 + w * 8) = 7(w + -3) (56 + 8w) = 7(w + -3) Reorder the terms: 56 + 8w = 7(-3 + w) 56 + 8w = (-3 * 7 + w * 7) 56 + 8w = (-21 + 7w) Solving 56 + 8w = -21 + 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 + 8w + -7w = -21 + 7w + -7w Combine like terms: 8w + -7w = 1w 56 + 1w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 56 + 1w = -21 + 0 56 + 1w = -21 Add '-56' to each side of the equation. 56 + -56 + 1w = -21 + -56 Combine like terms: 56 + -56 = 0 0 + 1w = -21 + -56 1w = -21 + -56 Combine like terms: -21 + -56 = -77 1w = -77 Divide each side by '1'. w = -77 Simplifying w = -77
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