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Simplifying 8 + 8(4p + -8) = 8(3p + -1) Reorder the terms: 8 + 8(-8 + 4p) = 8(3p + -1) 8 + (-8 * 8 + 4p * 8) = 8(3p + -1) 8 + (-64 + 32p) = 8(3p + -1) Combine like terms: 8 + -64 = -56 -56 + 32p = 8(3p + -1) Reorder the terms: -56 + 32p = 8(-1 + 3p) -56 + 32p = (-1 * 8 + 3p * 8) -56 + 32p = (-8 + 24p) Solving -56 + 32p = -8 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -56 + 32p + -24p = -8 + 24p + -24p Combine like terms: 32p + -24p = 8p -56 + 8p = -8 + 24p + -24p Combine like terms: 24p + -24p = 0 -56 + 8p = -8 + 0 -56 + 8p = -8 Add '56' to each side of the equation. -56 + 56 + 8p = -8 + 56 Combine like terms: -56 + 56 = 0 0 + 8p = -8 + 56 8p = -8 + 56 Combine like terms: -8 + 56 = 48 8p = 48 Divide each side by '8'. p = 6 Simplifying p = 6
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