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Simplifying -40 = -6(8p + -2) + -4 Reorder the terms: -40 = -6(-2 + 8p) + -4 -40 = (-2 * -6 + 8p * -6) + -4 -40 = (12 + -48p) + -4 Reorder the terms: -40 = 12 + -4 + -48p Combine like terms: 12 + -4 = 8 -40 = 8 + -48p Solving -40 = 8 + -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. -40 + 48p = 8 + -48p + 48p Combine like terms: -48p + 48p = 0 -40 + 48p = 8 + 0 -40 + 48p = 8 Add '40' to each side of the equation. -40 + 40 + 48p = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 48p = 8 + 40 48p = 8 + 40 Combine like terms: 8 + 40 = 48 48p = 48 Divide each side by '48'. p = 1 Simplifying p = 1
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