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Simplifying -6(-1p + 8) = -6p + 12 Reorder the terms: -6(8 + -1p) = -6p + 12 (8 * -6 + -1p * -6) = -6p + 12 (-48 + 6p) = -6p + 12 Reorder the terms: -48 + 6p = 12 + -6p Solving -48 + 6p = 12 + -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. -48 + 6p + 6p = 12 + -6p + 6p Combine like terms: 6p + 6p = 12p -48 + 12p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 -48 + 12p = 12 + 0 -48 + 12p = 12 Add '48' to each side of the equation. -48 + 48 + 12p = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 12p = 12 + 48 12p = 12 + 48 Combine like terms: 12 + 48 = 60 12p = 60 Divide each side by '12'. p = 5 Simplifying p = 5
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