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Simplifying 5(1 + -3p) = -31 + -3p (1 * 5 + -3p * 5) = -31 + -3p (5 + -15p) = -31 + -3p Solving 5 + -15p = -31 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 5 + -15p + 3p = -31 + -3p + 3p Combine like terms: -15p + 3p = -12p 5 + -12p = -31 + -3p + 3p Combine like terms: -3p + 3p = 0 5 + -12p = -31 + 0 5 + -12p = -31 Add '-5' to each side of the equation. 5 + -5 + -12p = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -12p = -31 + -5 -12p = -31 + -5 Combine like terms: -31 + -5 = -36 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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