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Simplifying 8(9 + -2w) = 7(7(w + 2)) (9 * 8 + -2w * 8) = 7(7(w + 2)) (72 + -16w) = 7(7(w + 2)) Reorder the terms: 72 + -16w = 7(7(2 + w)) 72 + -16w = 7((2 * 7 + w * 7)) 72 + -16w = 7((14 + 7w)) 72 + -16w = (14 * 7 + 7w * 7) 72 + -16w = (98 + 49w) Solving 72 + -16w = 98 + 49w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-49w' to each side of the equation. 72 + -16w + -49w = 98 + 49w + -49w Combine like terms: -16w + -49w = -65w 72 + -65w = 98 + 49w + -49w Combine like terms: 49w + -49w = 0 72 + -65w = 98 + 0 72 + -65w = 98 Add '-72' to each side of the equation. 72 + -72 + -65w = 98 + -72 Combine like terms: 72 + -72 = 0 0 + -65w = 98 + -72 -65w = 98 + -72 Combine like terms: 98 + -72 = 26 -65w = 26 Divide each side by '-65'. w = -0.4 Simplifying w = -0.4
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