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Simplifying -6(-8p + 9) = -5(-18 + -6p) Reorder the terms: -6(9 + -8p) = -5(-18 + -6p) (9 * -6 + -8p * -6) = -5(-18 + -6p) (-54 + 48p) = -5(-18 + -6p) -54 + 48p = (-18 * -5 + -6p * -5) -54 + 48p = (90 + 30p) Solving -54 + 48p = 90 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -54 + 48p + -30p = 90 + 30p + -30p Combine like terms: 48p + -30p = 18p -54 + 18p = 90 + 30p + -30p Combine like terms: 30p + -30p = 0 -54 + 18p = 90 + 0 -54 + 18p = 90 Add '54' to each side of the equation. -54 + 54 + 18p = 90 + 54 Combine like terms: -54 + 54 = 0 0 + 18p = 90 + 54 18p = 90 + 54 Combine like terms: 90 + 54 = 144 18p = 144 Divide each side by '18'. p = 8 Simplifying p = 8
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