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Simplifying 4p + 5p + -4(p + -10) = 85 Reorder the terms: 4p + 5p + -4(-10 + p) = 85 4p + 5p + (-10 * -4 + p * -4) = 85 4p + 5p + (40 + -4p) = 85 Reorder the terms: 40 + 4p + 5p + -4p = 85 Combine like terms: 4p + 5p = 9p 40 + 9p + -4p = 85 Combine like terms: 9p + -4p = 5p 40 + 5p = 85 Solving 40 + 5p = 85 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5p = 85 + -40 Combine like terms: 40 + -40 = 0 0 + 5p = 85 + -40 5p = 85 + -40 Combine like terms: 85 + -40 = 45 5p = 45 Divide each side by '5'. p = 9 Simplifying p = 9
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