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Simplifying 8(w + 8) + -1(9 + -9w) = 16w Reorder the terms: 8(8 + w) + -1(9 + -9w) = 16w (8 * 8 + w * 8) + -1(9 + -9w) = 16w (64 + 8w) + -1(9 + -9w) = 16w 64 + 8w + (9 * -1 + -9w * -1) = 16w 64 + 8w + (-9 + 9w) = 16w Reorder the terms: 64 + -9 + 8w + 9w = 16w Combine like terms: 64 + -9 = 55 55 + 8w + 9w = 16w Combine like terms: 8w + 9w = 17w 55 + 17w = 16w Solving 55 + 17w = 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 55 + 17w + -16w = 16w + -16w Combine like terms: 17w + -16w = 1w 55 + 1w = 16w + -16w Combine like terms: 16w + -16w = 0 55 + 1w = 0 Add '-55' to each side of the equation. 55 + -55 + 1w = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 1w = 0 + -55 1w = 0 + -55 Combine like terms: 0 + -55 = -55 1w = -55 Divide each side by '1'. w = -55 Simplifying w = -55
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