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Simplifying 7p + -8(2p + 4) = -1(p + 8) Reorder the terms: 7p + -8(4 + 2p) = -1(p + 8) 7p + (4 * -8 + 2p * -8) = -1(p + 8) 7p + (-32 + -16p) = -1(p + 8) Reorder the terms: -32 + 7p + -16p = -1(p + 8) Combine like terms: 7p + -16p = -9p -32 + -9p = -1(p + 8) Reorder the terms: -32 + -9p = -1(8 + p) -32 + -9p = (8 * -1 + p * -1) -32 + -9p = (-8 + -1p) Solving -32 + -9p = -8 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -32 + -9p + p = -8 + -1p + p Combine like terms: -9p + p = -8p -32 + -8p = -8 + -1p + p Combine like terms: -1p + p = 0 -32 + -8p = -8 + 0 -32 + -8p = -8 Add '32' to each side of the equation. -32 + 32 + -8p = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -8p = -8 + 32 -8p = -8 + 32 Combine like terms: -8 + 32 = 24 -8p = 24 Divide each side by '-8'. p = -3 Simplifying p = -3
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