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Simplifying -285 = -5(8p + 1) Reorder the terms: -285 = -5(1 + 8p) -285 = (1 * -5 + 8p * -5) -285 = (-5 + -40p) Solving -285 = -5 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -285 + 40p = -5 + -40p + 40p Combine like terms: -40p + 40p = 0 -285 + 40p = -5 + 0 -285 + 40p = -5 Add '285' to each side of the equation. -285 + 285 + 40p = -5 + 285 Combine like terms: -285 + 285 = 0 0 + 40p = -5 + 285 40p = -5 + 285 Combine like terms: -5 + 285 = 280 40p = 280 Divide each side by '40'. p = 7 Simplifying p = 7
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