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Simplifying 2 + -6(-1p + 8) = -6p + 14 Reorder the terms: 2 + -6(8 + -1p) = -6p + 14 2 + (8 * -6 + -1p * -6) = -6p + 14 2 + (-48 + 6p) = -6p + 14 Combine like terms: 2 + -48 = -46 -46 + 6p = -6p + 14 Reorder the terms: -46 + 6p = 14 + -6p Solving -46 + 6p = 14 + -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. -46 + 6p + 6p = 14 + -6p + 6p Combine like terms: 6p + 6p = 12p -46 + 12p = 14 + -6p + 6p Combine like terms: -6p + 6p = 0 -46 + 12p = 14 + 0 -46 + 12p = 14 Add '46' to each side of the equation. -46 + 46 + 12p = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 12p = 14 + 46 12p = 14 + 46 Combine like terms: 14 + 46 = 60 12p = 60 Divide each side by '12'. p = 5 Simplifying p = 5
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