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Simplifying -1(p + 7) + -8p = -19 + 3p Reorder the terms: -1(7 + p) + -8p = -19 + 3p (7 * -1 + p * -1) + -8p = -19 + 3p (-7 + -1p) + -8p = -19 + 3p Combine like terms: -1p + -8p = -9p -7 + -9p = -19 + 3p Solving -7 + -9p = -19 + 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. -7 + -9p + -3p = -19 + 3p + -3p Combine like terms: -9p + -3p = -12p -7 + -12p = -19 + 3p + -3p Combine like terms: 3p + -3p = 0 -7 + -12p = -19 + 0 -7 + -12p = -19 Add '7' to each side of the equation. -7 + 7 + -12p = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -12p = -19 + 7 -12p = -19 + 7 Combine like terms: -19 + 7 = -12 -12p = -12 Divide each side by '-12'. p = 1 Simplifying p = 1
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