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Simplifying 10(7p + -10) + -7p = 467 Reorder the terms: 10(-10 + 7p) + -7p = 467 (-10 * 10 + 7p * 10) + -7p = 467 (-100 + 70p) + -7p = 467 Combine like terms: 70p + -7p = 63p -100 + 63p = 467 Solving -100 + 63p = 467 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 63p = 467 + 100 Combine like terms: -100 + 100 = 0 0 + 63p = 467 + 100 63p = 467 + 100 Combine like terms: 467 + 100 = 567 63p = 567 Divide each side by '63'. p = 9 Simplifying p = 9
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