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Simplifying -6p + -8(-4 + -2p) = 102 -6p + (-4 * -8 + -2p * -8) = 102 -6p + (32 + 16p) = 102 Reorder the terms: 32 + -6p + 16p = 102 Combine like terms: -6p + 16p = 10p 32 + 10p = 102 Solving 32 + 10p = 102 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 10p = 102 + -32 Combine like terms: 32 + -32 = 0 0 + 10p = 102 + -32 10p = 102 + -32 Combine like terms: 102 + -32 = 70 10p = 70 Divide each side by '10'. p = 7 Simplifying p = 7
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