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Simplifying -3p + -1(1 + 4p) = 4 + -8p -3p + (1 * -1 + 4p * -1) = 4 + -8p -3p + (-1 + -4p) = 4 + -8p Reorder the terms: -1 + -3p + -4p = 4 + -8p Combine like terms: -3p + -4p = -7p -1 + -7p = 4 + -8p Solving -1 + -7p = 4 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -1 + -7p + 8p = 4 + -8p + 8p Combine like terms: -7p + 8p = 1p -1 + 1p = 4 + -8p + 8p Combine like terms: -8p + 8p = 0 -1 + 1p = 4 + 0 -1 + 1p = 4 Add '1' to each side of the equation. -1 + 1 + 1p = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1p = 4 + 1 1p = 4 + 1 Combine like terms: 4 + 1 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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