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Simplifying 8(2p + -3) = 4p + -9 Reorder the terms: 8(-3 + 2p) = 4p + -9 (-3 * 8 + 2p * 8) = 4p + -9 (-24 + 16p) = 4p + -9 Reorder the terms: -24 + 16p = -9 + 4p Solving -24 + 16p = -9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -24 + 16p + -4p = -9 + 4p + -4p Combine like terms: 16p + -4p = 12p -24 + 12p = -9 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 12p = -9 + 0 -24 + 12p = -9 Add '24' to each side of the equation. -24 + 24 + 12p = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 12p = -9 + 24 12p = -9 + 24 Combine like terms: -9 + 24 = 15 12p = 15 Divide each side by '12'. p = 1.25 Simplifying p = 1.25
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