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Simplifying 9(1 + p) = -6(4p + -7) (1 * 9 + p * 9) = -6(4p + -7) (9 + 9p) = -6(4p + -7) Reorder the terms: 9 + 9p = -6(-7 + 4p) 9 + 9p = (-7 * -6 + 4p * -6) 9 + 9p = (42 + -24p) Solving 9 + 9p = 42 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 9 + 9p + 24p = 42 + -24p + 24p Combine like terms: 9p + 24p = 33p 9 + 33p = 42 + -24p + 24p Combine like terms: -24p + 24p = 0 9 + 33p = 42 + 0 9 + 33p = 42 Add '-9' to each side of the equation. 9 + -9 + 33p = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 33p = 42 + -9 33p = 42 + -9 Combine like terms: 42 + -9 = 33 33p = 33 Divide each side by '33'. p = 1 Simplifying p = 1
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