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Simplifying 8p + -3(1 + -7p) = 32 8p + (1 * -3 + -7p * -3) = 32 8p + (-3 + 21p) = 32 Reorder the terms: -3 + 8p + 21p = 32 Combine like terms: 8p + 21p = 29p -3 + 29p = 32 Solving -3 + 29p = 32 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 29p = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 29p = 32 + 3 29p = 32 + 3 Combine like terms: 32 + 3 = 35 29p = 35 Divide each side by '29'. p = 1.206896552 Simplifying p = 1.206896552
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