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Simplifying 3p + 8 = 6 + -1(12p + 2) Reorder the terms: 8 + 3p = 6 + -1(12p + 2) Reorder the terms: 8 + 3p = 6 + -1(2 + 12p) 8 + 3p = 6 + (2 * -1 + 12p * -1) 8 + 3p = 6 + (-2 + -12p) Combine like terms: 6 + -2 = 4 8 + 3p = 4 + -12p Solving 8 + 3p = 4 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 8 + 3p + 12p = 4 + -12p + 12p Combine like terms: 3p + 12p = 15p 8 + 15p = 4 + -12p + 12p Combine like terms: -12p + 12p = 0 8 + 15p = 4 + 0 8 + 15p = 4 Add '-8' to each side of the equation. 8 + -8 + 15p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 15p = 4 + -8 15p = 4 + -8 Combine like terms: 4 + -8 = -4 15p = -4 Divide each side by '15'. p = -0.2666666667 Simplifying p = -0.2666666667
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