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Simplifying -4(3p + 7) + 4 = -4p + -40 Reorder the terms: -4(7 + 3p) + 4 = -4p + -40 (7 * -4 + 3p * -4) + 4 = -4p + -40 (-28 + -12p) + 4 = -4p + -40 Reorder the terms: -28 + 4 + -12p = -4p + -40 Combine like terms: -28 + 4 = -24 -24 + -12p = -4p + -40 Reorder the terms: -24 + -12p = -40 + -4p Solving -24 + -12p = -40 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -24 + -12p + 4p = -40 + -4p + 4p Combine like terms: -12p + 4p = -8p -24 + -8p = -40 + -4p + 4p Combine like terms: -4p + 4p = 0 -24 + -8p = -40 + 0 -24 + -8p = -40 Add '24' to each side of the equation. -24 + 24 + -8p = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -8p = -40 + 24 -8p = -40 + 24 Combine like terms: -40 + 24 = -16 -8p = -16 Divide each side by '-8'. p = 2 Simplifying p = 2
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