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Simplifying 8(w + 9) = 7w + -2 Reorder the terms: 8(9 + w) = 7w + -2 (9 * 8 + w * 8) = 7w + -2 (72 + 8w) = 7w + -2 Reorder the terms: 72 + 8w = -2 + 7w Solving 72 + 8w = -2 + 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. 72 + 8w + -7w = -2 + 7w + -7w Combine like terms: 8w + -7w = 1w 72 + 1w = -2 + 7w + -7w Combine like terms: 7w + -7w = 0 72 + 1w = -2 + 0 72 + 1w = -2 Add '-72' to each side of the equation. 72 + -72 + 1w = -2 + -72 Combine like terms: 72 + -72 = 0 0 + 1w = -2 + -72 1w = -2 + -72 Combine like terms: -2 + -72 = -74 1w = -74 Divide each side by '1'. w = -74 Simplifying w = -74
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