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Simplifying -9(p + 4) = -8(p + 9) + 2p Reorder the terms: -9(4 + p) = -8(p + 9) + 2p (4 * -9 + p * -9) = -8(p + 9) + 2p (-36 + -9p) = -8(p + 9) + 2p Reorder the terms: -36 + -9p = -8(9 + p) + 2p -36 + -9p = (9 * -8 + p * -8) + 2p -36 + -9p = (-72 + -8p) + 2p Combine like terms: -8p + 2p = -6p -36 + -9p = -72 + -6p Solving -36 + -9p = -72 + -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. -36 + -9p + 6p = -72 + -6p + 6p Combine like terms: -9p + 6p = -3p -36 + -3p = -72 + -6p + 6p Combine like terms: -6p + 6p = 0 -36 + -3p = -72 + 0 -36 + -3p = -72 Add '36' to each side of the equation. -36 + 36 + -3p = -72 + 36 Combine like terms: -36 + 36 = 0 0 + -3p = -72 + 36 -3p = -72 + 36 Combine like terms: -72 + 36 = -36 -3p = -36 Divide each side by '-3'. p = 12 Simplifying p = 12
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