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Simplifying -7(4p + 1) + -8(3p + 8) = -71 Reorder the terms: -7(1 + 4p) + -8(3p + 8) = -71 (1 * -7 + 4p * -7) + -8(3p + 8) = -71 (-7 + -28p) + -8(3p + 8) = -71 Reorder the terms: -7 + -28p + -8(8 + 3p) = -71 -7 + -28p + (8 * -8 + 3p * -8) = -71 -7 + -28p + (-64 + -24p) = -71 Reorder the terms: -7 + -64 + -28p + -24p = -71 Combine like terms: -7 + -64 = -71 -71 + -28p + -24p = -71 Combine like terms: -28p + -24p = -52p -71 + -52p = -71 Add '71' to each side of the equation. -71 + 71 + -52p = -71 + 71 Combine like terms: -71 + 71 = 0 0 + -52p = -71 + 71 -52p = -71 + 71 Combine like terms: -71 + 71 = 0 -52p = 0 Solving -52p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '-52'. p = 0 Simplifying p = 0
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