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Simplifying -6(-1p + 6) = -6p + 12 Reorder the terms: -6(6 + -1p) = -6p + 12 (6 * -6 + -1p * -6) = -6p + 12 (-36 + 6p) = -6p + 12 Reorder the terms: -36 + 6p = 12 + -6p Solving -36 + 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. -36 + 6p + 6p = 12 + -6p + 6p Combine like terms: 6p + 6p = 12p -36 + 12p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 -36 + 12p = 12 + 0 -36 + 12p = 12 Add '36' to each side of the equation. -36 + 36 + 12p = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12p = 12 + 36 12p = 12 + 36 Combine like terms: 12 + 36 = 48 12p = 48 Divide each side by '12'. p = 4 Simplifying p = 4
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