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Simplifying 7w + 5(-8w + -9) = 0 Reorder the terms: 7w + 5(-9 + -8w) = 0 7w + (-9 * 5 + -8w * 5) = 0 7w + (-45 + -40w) = 0 Reorder the terms: -45 + 7w + -40w = 0 Combine like terms: 7w + -40w = -33w -45 + -33w = 0 Solving -45 + -33w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -33w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -33w = 0 + 45 -33w = 0 + 45 Combine like terms: 0 + 45 = 45 -33w = 45 Divide each side by '-33'. w = -1.363636364 Simplifying w = -1.363636364
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