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Simplifying 3p + 8 = -1p + -8(8p + -1) Reorder the terms: 8 + 3p = -1p + -8(8p + -1) Reorder the terms: 8 + 3p = -1p + -8(-1 + 8p) 8 + 3p = -1p + (-1 * -8 + 8p * -8) 8 + 3p = -1p + (8 + -64p) Reorder the terms: 8 + 3p = 8 + -1p + -64p Combine like terms: -1p + -64p = -65p 8 + 3p = 8 + -65p Add '-8' to each side of the equation. 8 + -8 + 3p = 8 + -8 + -65p Combine like terms: 8 + -8 = 0 0 + 3p = 8 + -8 + -65p 3p = 8 + -8 + -65p Combine like terms: 8 + -8 = 0 3p = 0 + -65p 3p = -65p Solving 3p = -65p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '65p' to each side of the equation. 3p + 65p = -65p + 65p Combine like terms: 3p + 65p = 68p 68p = -65p + 65p Combine like terms: -65p + 65p = 0 68p = 0 Divide each side by '68'. p = 0 Simplifying p = 0
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