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Simplifying -3(1 + 8p) = -1p + -3(8p + -2) (1 * -3 + 8p * -3) = -1p + -3(8p + -2) (-3 + -24p) = -1p + -3(8p + -2) Reorder the terms: -3 + -24p = -1p + -3(-2 + 8p) -3 + -24p = -1p + (-2 * -3 + 8p * -3) -3 + -24p = -1p + (6 + -24p) Reorder the terms: -3 + -24p = 6 + -1p + -24p Combine like terms: -1p + -24p = -25p -3 + -24p = 6 + -25p Solving -3 + -24p = 6 + -25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25p' to each side of the equation. -3 + -24p + 25p = 6 + -25p + 25p Combine like terms: -24p + 25p = 1p -3 + 1p = 6 + -25p + 25p Combine like terms: -25p + 25p = 0 -3 + 1p = 6 + 0 -3 + 1p = 6 Add '3' to each side of the equation. -3 + 3 + 1p = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = 6 + 3 1p = 6 + 3 Combine like terms: 6 + 3 = 9 1p = 9 Divide each side by '1'. p = 9 Simplifying p = 9
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