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Simplifying 5(4w + 9) = -6 Reorder the terms: 5(9 + 4w) = -6 (9 * 5 + 4w * 5) = -6 (45 + 20w) = -6 Solving 45 + 20w = -6 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 + 20w = -6 + -45 Combine like terms: 45 + -45 = 0 0 + 20w = -6 + -45 20w = -6 + -45 Combine like terms: -6 + -45 = -51 20w = -51 Divide each side by '20'. w = -2.55 Simplifying w = -2.55
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