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Simplifying 5(p + -2) = 17 + -4p Reorder the terms: 5(-2 + p) = 17 + -4p (-2 * 5 + p * 5) = 17 + -4p (-10 + 5p) = 17 + -4p Solving -10 + 5p = 17 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -10 + 5p + 4p = 17 + -4p + 4p Combine like terms: 5p + 4p = 9p -10 + 9p = 17 + -4p + 4p Combine like terms: -4p + 4p = 0 -10 + 9p = 17 + 0 -10 + 9p = 17 Add '10' to each side of the equation. -10 + 10 + 9p = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 9p = 17 + 10 9p = 17 + 10 Combine like terms: 17 + 10 = 27 9p = 27 Divide each side by '9'. p = 3 Simplifying p = 3
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