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Simplifying 8(8p + 1) + -4(8 + 7p) = 0 Reorder the terms: 8(1 + 8p) + -4(8 + 7p) = 0 (1 * 8 + 8p * 8) + -4(8 + 7p) = 0 (8 + 64p) + -4(8 + 7p) = 0 8 + 64p + (8 * -4 + 7p * -4) = 0 8 + 64p + (-32 + -28p) = 0 Reorder the terms: 8 + -32 + 64p + -28p = 0 Combine like terms: 8 + -32 = -24 -24 + 64p + -28p = 0 Combine like terms: 64p + -28p = 36p -24 + 36p = 0 Solving -24 + 36p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 36p = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 36p = 0 + 24 36p = 0 + 24 Combine like terms: 0 + 24 = 24 36p = 24 Divide each side by '36'. p = 0.6666666667 Simplifying p = 0.6666666667
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