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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 = -24p 56 + -24p = -32 + 16p + -16p Combine like terms: 16p + -16p = 0 56 + -24p = -32 + 0 56 + -24p = -32 Add '-56' to each side of the equation. 56 + -56 + -24p = -32 + -56 Combine like terms: 56 + -56 = 0 0 + -24p = -32 + -56 -24p = -32 + -56 Combine like terms: -32 + -56 = -88 -24p = -88 Divide each side by '-24'. p = 3.666666667 Simplifying p = 3.666666667
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