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Simplifying -31 + -8p = 5(1 + 7) + 7 Combine like terms: 1 + 7 = 8 -31 + -8p = 5(8) + 7 Multiply 5 * 8 -31 + -8p = 40 + 7 Combine like terms: 40 + 7 = 47 -31 + -8p = 47 Solving -31 + -8p = 47 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -8p = 47 + 31 Combine like terms: -31 + 31 = 0 0 + -8p = 47 + 31 -8p = 47 + 31 Combine like terms: 47 + 31 = 78 -8p = 78 Divide each side by '-8'. p = -9.75 Simplifying p = -9.75
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