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Simplifying 9(1 + -1p) = -3(p + -1) (1 * 9 + -1p * 9) = -3(p + -1) (9 + -9p) = -3(p + -1) Reorder the terms: 9 + -9p = -3(-1 + p) 9 + -9p = (-1 * -3 + p * -3) 9 + -9p = (3 + -3p) Solving 9 + -9p = 3 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 9 + -9p + 3p = 3 + -3p + 3p Combine like terms: -9p + 3p = -6p 9 + -6p = 3 + -3p + 3p Combine like terms: -3p + 3p = 0 9 + -6p = 3 + 0 9 + -6p = 3 Add '-9' to each side of the equation. 9 + -9 + -6p = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -6p = 3 + -9 -6p = 3 + -9 Combine like terms: 3 + -9 = -6 -6p = -6 Divide each side by '-6'. p = 1 Simplifying p = 1
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