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Simplifying -9(6p + 2) = 13 + -6p + 17 Reorder the terms: -9(2 + 6p) = 13 + -6p + 17 (2 * -9 + 6p * -9) = 13 + -6p + 17 (-18 + -54p) = 13 + -6p + 17 Reorder the terms: -18 + -54p = 13 + 17 + -6p Combine like terms: 13 + 17 = 30 -18 + -54p = 30 + -6p Solving -18 + -54p = 30 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -18 + -54p + 6p = 30 + -6p + 6p Combine like terms: -54p + 6p = -48p -18 + -48p = 30 + -6p + 6p Combine like terms: -6p + 6p = 0 -18 + -48p = 30 + 0 -18 + -48p = 30 Add '18' to each side of the equation. -18 + 18 + -48p = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -48p = 30 + 18 -48p = 30 + 18 Combine like terms: 30 + 18 = 48 -48p = 48 Divide each side by '-48'. p = -1 Simplifying p = -1
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