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Simplifying -2p + 8p = -8(6p + -1) + 8(3p + -1) Combine like terms: -2p + 8p = 6p 6p = -8(6p + -1) + 8(3p + -1) Reorder the terms: 6p = -8(-1 + 6p) + 8(3p + -1) 6p = (-1 * -8 + 6p * -8) + 8(3p + -1) 6p = (8 + -48p) + 8(3p + -1) Reorder the terms: 6p = 8 + -48p + 8(-1 + 3p) 6p = 8 + -48p + (-1 * 8 + 3p * 8) 6p = 8 + -48p + (-8 + 24p) Reorder the terms: 6p = 8 + -8 + -48p + 24p Combine like terms: 8 + -8 = 0 6p = 0 + -48p + 24p 6p = -48p + 24p Combine like terms: -48p + 24p = -24p 6p = -24p Solving 6p = -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 6p + 24p = -24p + 24p Combine like terms: 6p + 24p = 30p 30p = -24p + 24p Combine like terms: -24p + 24p = 0 30p = 0 Divide each side by '30'. p = 0.0 Simplifying p = 0.0
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