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Simplifying -1 + 3p = -6(-4p + 8) + 5 Reorder the terms: -1 + 3p = -6(8 + -4p) + 5 -1 + 3p = (8 * -6 + -4p * -6) + 5 -1 + 3p = (-48 + 24p) + 5 Reorder the terms: -1 + 3p = -48 + 5 + 24p Combine like terms: -48 + 5 = -43 -1 + 3p = -43 + 24p Solving -1 + 3p = -43 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -1 + 3p + -24p = -43 + 24p + -24p Combine like terms: 3p + -24p = -21p -1 + -21p = -43 + 24p + -24p Combine like terms: 24p + -24p = 0 -1 + -21p = -43 + 0 -1 + -21p = -43 Add '1' to each side of the equation. -1 + 1 + -21p = -43 + 1 Combine like terms: -1 + 1 = 0 0 + -21p = -43 + 1 -21p = -43 + 1 Combine like terms: -43 + 1 = -42 -21p = -42 Divide each side by '-21'. p = 2 Simplifying p = 2
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