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Simplifying -5(1 + -8p) + -7 = -292 (1 * -5 + -8p * -5) + -7 = -292 (-5 + 40p) + -7 = -292 Reorder the terms: -5 + -7 + 40p = -292 Combine like terms: -5 + -7 = -12 -12 + 40p = -292 Solving -12 + 40p = -292 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 40p = -292 + 12 Combine like terms: -12 + 12 = 0 0 + 40p = -292 + 12 40p = -292 + 12 Combine like terms: -292 + 12 = -280 40p = -280 Divide each side by '40'. p = -7 Simplifying p = -7
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