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Simplifying 8 + -6(6 + 8p) = -8p + 12 8 + (6 * -6 + 8p * -6) = -8p + 12 8 + (-36 + -48p) = -8p + 12 Combine like terms: 8 + -36 = -28 -28 + -48p = -8p + 12 Reorder the terms: -28 + -48p = 12 + -8p Solving -28 + -48p = 12 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -28 + -48p + 8p = 12 + -8p + 8p Combine like terms: -48p + 8p = -40p -28 + -40p = 12 + -8p + 8p Combine like terms: -8p + 8p = 0 -28 + -40p = 12 + 0 -28 + -40p = 12 Add '28' to each side of the equation. -28 + 28 + -40p = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -40p = 12 + 28 -40p = 12 + 28 Combine like terms: 12 + 28 = 40 -40p = 40 Divide each side by '-40'. p = -1 Simplifying p = -1
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