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Simplifying P(x + 5w) = 3(n + -24) Reorder the terms: P(5w + x) = 3(n + -24) (5w * P + x * P) = 3(n + -24) (5wP + xP) = 3(n + -24) Reorder the terms: 5wP + xP = 3(-24 + n) 5wP + xP = (-24 * 3 + n * 3) 5wP + xP = (-72 + 3n) Solving 5wP + xP = -72 + 3n Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1xP' to each side of the equation. 5wP + xP + -1xP = -72 + 3n + -1xP Combine like terms: xP + -1xP = 0 5wP + 0 = -72 + 3n + -1xP 5wP = -72 + 3n + -1xP Divide each side by '5P'. w = -14.4P-1 + 0.6nP-1 + -0.2x Simplifying w = -14.4P-1 + 0.6nP-1 + -0.2x
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