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Simplifying 8(-4p + -2) = p + 17 Reorder the terms: 8(-2 + -4p) = p + 17 (-2 * 8 + -4p * 8) = p + 17 (-16 + -32p) = p + 17 Reorder the terms: -16 + -32p = 17 + p Solving -16 + -32p = 17 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -16 + -32p + -1p = 17 + p + -1p Combine like terms: -32p + -1p = -33p -16 + -33p = 17 + p + -1p Combine like terms: p + -1p = 0 -16 + -33p = 17 + 0 -16 + -33p = 17 Add '16' to each side of the equation. -16 + 16 + -33p = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -33p = 17 + 16 -33p = 17 + 16 Combine like terms: 17 + 16 = 33 -33p = 33 Divide each side by '-33'. p = -1 Simplifying p = -1
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