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Simplifying -9(7w + -5) + 2(-8w + 10) = 0 Reorder the terms: -9(-5 + 7w) + 2(-8w + 10) = 0 (-5 * -9 + 7w * -9) + 2(-8w + 10) = 0 (45 + -63w) + 2(-8w + 10) = 0 Reorder the terms: 45 + -63w + 2(10 + -8w) = 0 45 + -63w + (10 * 2 + -8w * 2) = 0 45 + -63w + (20 + -16w) = 0 Reorder the terms: 45 + 20 + -63w + -16w = 0 Combine like terms: 45 + 20 = 65 65 + -63w + -16w = 0 Combine like terms: -63w + -16w = -79w 65 + -79w = 0 Solving 65 + -79w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -79w = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -79w = 0 + -65 -79w = 0 + -65 Combine like terms: 0 + -65 = -65 -79w = -65 Divide each side by '-79'. w = 0.8227848101 Simplifying w = 0.8227848101
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