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Simplifying -6(-1p + 8) = 16p + 12 Reorder the terms: -6(8 + -1p) = 16p + 12 (8 * -6 + -1p * -6) = 16p + 12 (-48 + 6p) = 16p + 12 Reorder the terms: -48 + 6p = 12 + 16p Solving -48 + 6p = 12 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -48 + 6p + -16p = 12 + 16p + -16p Combine like terms: 6p + -16p = -10p -48 + -10p = 12 + 16p + -16p Combine like terms: 16p + -16p = 0 -48 + -10p = 12 + 0 -48 + -10p = 12 Add '48' to each side of the equation. -48 + 48 + -10p = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -10p = 12 + 48 -10p = 12 + 48 Combine like terms: 12 + 48 = 60 -10p = 60 Divide each side by '-10'. p = -6 Simplifying p = -6
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