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Simplifying 6(-4p + -1) = -38 + 8p Reorder the terms: 6(-1 + -4p) = -38 + 8p (-1 * 6 + -4p * 6) = -38 + 8p (-6 + -24p) = -38 + 8p Solving -6 + -24p = -38 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -6 + -24p + -8p = -38 + 8p + -8p Combine like terms: -24p + -8p = -32p -6 + -32p = -38 + 8p + -8p Combine like terms: 8p + -8p = 0 -6 + -32p = -38 + 0 -6 + -32p = -38 Add '6' to each side of the equation. -6 + 6 + -32p = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -32p = -38 + 6 -32p = -38 + 6 Combine like terms: -38 + 6 = -32 -32p = -32 Divide each side by '-32'. p = 1 Simplifying p = 1
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