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Simplifying 9(8p + -7) = 6(5p + 4) Reorder the terms: 9(-7 + 8p) = 6(5p + 4) (-7 * 9 + 8p * 9) = 6(5p + 4) (-63 + 72p) = 6(5p + 4) Reorder the terms: -63 + 72p = 6(4 + 5p) -63 + 72p = (4 * 6 + 5p * 6) -63 + 72p = (24 + 30p) Solving -63 + 72p = 24 + 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. -63 + 72p + -30p = 24 + 30p + -30p Combine like terms: 72p + -30p = 42p -63 + 42p = 24 + 30p + -30p Combine like terms: 30p + -30p = 0 -63 + 42p = 24 + 0 -63 + 42p = 24 Add '63' to each side of the equation. -63 + 63 + 42p = 24 + 63 Combine like terms: -63 + 63 = 0 0 + 42p = 24 + 63 42p = 24 + 63 Combine like terms: 24 + 63 = 87 42p = 87 Divide each side by '42'. p = 2.071428571 Simplifying p = 2.071428571
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