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Simplifying 8(3w + 9) + -4(2w + -4) = 0 Reorder the terms: 8(9 + 3w) + -4(2w + -4) = 0 (9 * 8 + 3w * 8) + -4(2w + -4) = 0 (72 + 24w) + -4(2w + -4) = 0 Reorder the terms: 72 + 24w + -4(-4 + 2w) = 0 72 + 24w + (-4 * -4 + 2w * -4) = 0 72 + 24w + (16 + -8w) = 0 Reorder the terms: 72 + 16 + 24w + -8w = 0 Combine like terms: 72 + 16 = 88 88 + 24w + -8w = 0 Combine like terms: 24w + -8w = 16w 88 + 16w = 0 Solving 88 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 16w = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 16w = 0 + -88 16w = 0 + -88 Combine like terms: 0 + -88 = -88 16w = -88 Divide each side by '16'. w = -5.5 Simplifying w = -5.5
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