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Simplifying 8(7 + -1p) = -16(p + -2) (7 * 8 + -1p * 8) = -16(p + -2) (56 + -8p) = -16(p + -2) Reorder the terms: 56 + -8p = -16(-2 + p) 56 + -8p = (-2 * -16 + p * -16) 56 + -8p = (32 + -16p) Solving 56 + -8p = 32 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 56 + -8p + 16p = 32 + -16p + 16p Combine like terms: -8p + 16p = 8p 56 + 8p = 32 + -16p + 16p Combine like terms: -16p + 16p = 0 56 + 8p = 32 + 0 56 + 8p = 32 Add '-56' to each side of the equation. 56 + -56 + 8p = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 8p = 32 + -56 8p = 32 + -56 Combine like terms: 32 + -56 = -24 8p = -24 Divide each side by '8'. p = -3 Simplifying p = -3
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