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Simplifying 5(-2 + 3p) + -7 = -122 (-2 * 5 + 3p * 5) + -7 = -122 (-10 + 15p) + -7 = -122 Reorder the terms: -10 + -7 + 15p = -122 Combine like terms: -10 + -7 = -17 -17 + 15p = -122 Solving -17 + 15p = -122 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 15p = -122 + 17 Combine like terms: -17 + 17 = 0 0 + 15p = -122 + 17 15p = -122 + 17 Combine like terms: -122 + 17 = -105 15p = -105 Divide each side by '15'. p = -7 Simplifying p = -7
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