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Simplifying 8(3p + 6) + -4(4p + -1) = 0 Reorder the terms: 8(6 + 3p) + -4(4p + -1) = 0 (6 * 8 + 3p * 8) + -4(4p + -1) = 0 (48 + 24p) + -4(4p + -1) = 0 Reorder the terms: 48 + 24p + -4(-1 + 4p) = 0 48 + 24p + (-1 * -4 + 4p * -4) = 0 48 + 24p + (4 + -16p) = 0 Reorder the terms: 48 + 4 + 24p + -16p = 0 Combine like terms: 48 + 4 = 52 52 + 24p + -16p = 0 Combine like terms: 24p + -16p = 8p 52 + 8p = 0 Solving 52 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 8p = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 8p = 0 + -52 8p = 0 + -52 Combine like terms: 0 + -52 = -52 8p = -52 Divide each side by '8'. p = -6.5 Simplifying p = -6.5
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