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Simplifying -3p + 8 = 6 + -1(12p + 3) Reorder the terms: 8 + -3p = 6 + -1(12p + 3) Reorder the terms: 8 + -3p = 6 + -1(3 + 12p) 8 + -3p = 6 + (3 * -1 + 12p * -1) 8 + -3p = 6 + (-3 + -12p) Combine like terms: 6 + -3 = 3 8 + -3p = 3 + -12p Solving 8 + -3p = 3 + -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 = 3 + -12p + 12p Combine like terms: -3p + 12p = 9p 8 + 9p = 3 + -12p + 12p Combine like terms: -12p + 12p = 0 8 + 9p = 3 + 0 8 + 9p = 3 Add '-8' to each side of the equation. 8 + -8 + 9p = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = 3 + -8 9p = 3 + -8 Combine like terms: 3 + -8 = -5 9p = -5 Divide each side by '9'. p = -0.5555555556 Simplifying p = -0.5555555556
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