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Simplifying -8(4p + 9) = -8(p + 9) + 5p Reorder the terms: -8(9 + 4p) = -8(p + 9) + 5p (9 * -8 + 4p * -8) = -8(p + 9) + 5p (-72 + -32p) = -8(p + 9) + 5p Reorder the terms: -72 + -32p = -8(9 + p) + 5p -72 + -32p = (9 * -8 + p * -8) + 5p -72 + -32p = (-72 + -8p) + 5p Combine like terms: -8p + 5p = -3p -72 + -32p = -72 + -3p Add '72' to each side of the equation. -72 + 72 + -32p = -72 + 72 + -3p Combine like terms: -72 + 72 = 0 0 + -32p = -72 + 72 + -3p -32p = -72 + 72 + -3p Combine like terms: -72 + 72 = 0 -32p = 0 + -3p -32p = -3p Solving -32p = -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -32p + 3p = -3p + 3p Combine like terms: -32p + 3p = -29p -29p = -3p + 3p Combine like terms: -3p + 3p = 0 -29p = 0 Divide each side by '-29'. p = 0 Simplifying p = 0
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