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Simplifying -7(3p + -8) = -32 + p Reorder the terms: -7(-8 + 3p) = -32 + p (-8 * -7 + 3p * -7) = -32 + p (56 + -21p) = -32 + p Solving 56 + -21p = -32 + 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. 56 + -21p + -1p = -32 + p + -1p Combine like terms: -21p + -1p = -22p 56 + -22p = -32 + p + -1p Combine like terms: p + -1p = 0 56 + -22p = -32 + 0 56 + -22p = -32 Add '-56' to each side of the equation. 56 + -56 + -22p = -32 + -56 Combine like terms: 56 + -56 = 0 0 + -22p = -32 + -56 -22p = -32 + -56 Combine like terms: -32 + -56 = -88 -22p = -88 Divide each side by '-22'. p = 4 Simplifying p = 4
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