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Simplifying 4(-8 + -8p) + -4(p + 6) = -9p + p (-8 * 4 + -8p * 4) + -4(p + 6) = -9p + p (-32 + -32p) + -4(p + 6) = -9p + p Reorder the terms: -32 + -32p + -4(6 + p) = -9p + p -32 + -32p + (6 * -4 + p * -4) = -9p + p -32 + -32p + (-24 + -4p) = -9p + p Reorder the terms: -32 + -24 + -32p + -4p = -9p + p Combine like terms: -32 + -24 = -56 -56 + -32p + -4p = -9p + p Combine like terms: -32p + -4p = -36p -56 + -36p = -9p + p Combine like terms: -9p + p = -8p -56 + -36p = -8p Solving -56 + -36p = -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. -56 + -36p + 8p = -8p + 8p Combine like terms: -36p + 8p = -28p -56 + -28p = -8p + 8p Combine like terms: -8p + 8p = 0 -56 + -28p = 0 Add '56' to each side of the equation. -56 + 56 + -28p = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -28p = 0 + 56 -28p = 0 + 56 Combine like terms: 0 + 56 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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