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Simplifying 8 + -6(-1p + 8) = -6p + 12 Reorder the terms: 8 + -6(8 + -1p) = -6p + 12 8 + (8 * -6 + -1p * -6) = -6p + 12 8 + (-48 + 6p) = -6p + 12 Combine like terms: 8 + -48 = -40 -40 + 6p = -6p + 12 Reorder the terms: -40 + 6p = 12 + -6p Solving -40 + 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. -40 + 6p + 6p = 12 + -6p + 6p Combine like terms: 6p + 6p = 12p -40 + 12p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 -40 + 12p = 12 + 0 -40 + 12p = 12 Add '40' to each side of the equation. -40 + 40 + 12p = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 12p = 12 + 40 12p = 12 + 40 Combine like terms: 12 + 40 = 52 12p = 52 Divide each side by '12'. p = 4.333333333 Simplifying p = 4.333333333
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