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Simplifying 5 + 8(p + -5) = -83 Reorder the terms: 5 + 8(-5 + p) = -83 5 + (-5 * 8 + p * 8) = -83 5 + (-40 + 8p) = -83 Combine like terms: 5 + -40 = -35 -35 + 8p = -83 Solving -35 + 8p = -83 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 8p = -83 + 35 Combine like terms: -35 + 35 = 0 0 + 8p = -83 + 35 8p = -83 + 35 Combine like terms: -83 + 35 = -48 8p = -48 Divide each side by '8'. p = -6 Simplifying p = -6
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