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Simplifying -2p + 8 = 5(6p + 2) Reorder the terms: 8 + -2p = 5(6p + 2) Reorder the terms: 8 + -2p = 5(2 + 6p) 8 + -2p = (2 * 5 + 6p * 5) 8 + -2p = (10 + 30p) Solving 8 + -2p = 10 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 8 + -2p + -30p = 10 + 30p + -30p Combine like terms: -2p + -30p = -32p 8 + -32p = 10 + 30p + -30p Combine like terms: 30p + -30p = 0 8 + -32p = 10 + 0 8 + -32p = 10 Add '-8' to each side of the equation. 8 + -8 + -32p = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -32p = 10 + -8 -32p = 10 + -8 Combine like terms: 10 + -8 = 2 -32p = 2 Divide each side by '-32'. p = -0.0625 Simplifying p = -0.0625
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