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Simplifying -7p + -1(1 + -4p) = -31 + 3p -7p + (1 * -1 + -4p * -1) = -31 + 3p -7p + (-1 + 4p) = -31 + 3p Reorder the terms: -1 + -7p + 4p = -31 + 3p Combine like terms: -7p + 4p = -3p -1 + -3p = -31 + 3p Solving -1 + -3p = -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. -1 + -3p + -3p = -31 + 3p + -3p Combine like terms: -3p + -3p = -6p -1 + -6p = -31 + 3p + -3p Combine like terms: 3p + -3p = 0 -1 + -6p = -31 + 0 -1 + -6p = -31 Add '1' to each side of the equation. -1 + 1 + -6p = -31 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = -31 + 1 -6p = -31 + 1 Combine like terms: -31 + 1 = -30 -6p = -30 Divide each side by '-6'. p = 5 Simplifying p = 5
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