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Simplifying 8(7 + -1p) + -8 = 16(p + -2) (7 * 8 + -1p * 8) + -8 = 16(p + -2) (56 + -8p) + -8 = 16(p + -2) Reorder the terms: 56 + -8 + -8p = 16(p + -2) Combine like terms: 56 + -8 = 48 48 + -8p = 16(p + -2) Reorder the terms: 48 + -8p = 16(-2 + p) 48 + -8p = (-2 * 16 + p * 16) 48 + -8p = (-32 + 16p) Solving 48 + -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. 48 + -8p + -16p = -32 + 16p + -16p Combine like terms: -8p + -16p = -24p 48 + -24p = -32 + 16p + -16p Combine like terms: 16p + -16p = 0 48 + -24p = -32 + 0 48 + -24p = -32 Add '-48' to each side of the equation. 48 + -48 + -24p = -32 + -48 Combine like terms: 48 + -48 = 0 0 + -24p = -32 + -48 -24p = -32 + -48 Combine like terms: -32 + -48 = -80 -24p = -80 Divide each side by '-24'. p = 3.333333333 Simplifying p = 3.333333333
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