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Simplifying -8(3 + -9p) = 6(9p + -7) (3 * -8 + -9p * -8) = 6(9p + -7) (-24 + 72p) = 6(9p + -7) Reorder the terms: -24 + 72p = 6(-7 + 9p) -24 + 72p = (-7 * 6 + 9p * 6) -24 + 72p = (-42 + 54p) Solving -24 + 72p = -42 + 54p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-54p' to each side of the equation. -24 + 72p + -54p = -42 + 54p + -54p Combine like terms: 72p + -54p = 18p -24 + 18p = -42 + 54p + -54p Combine like terms: 54p + -54p = 0 -24 + 18p = -42 + 0 -24 + 18p = -42 Add '24' to each side of the equation. -24 + 24 + 18p = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 18p = -42 + 24 18p = -42 + 24 Combine like terms: -42 + 24 = -18 18p = -18 Divide each side by '18'. p = -1 Simplifying p = -1
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