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Simplifying -3p + 8 = 6 + -1(12p + 5) Reorder the terms: 8 + -3p = 6 + -1(12p + 5) Reorder the terms: 8 + -3p = 6 + -1(5 + 12p) 8 + -3p = 6 + (5 * -1 + 12p * -1) 8 + -3p = 6 + (-5 + -12p) Combine like terms: 6 + -5 = 1 8 + -3p = 1 + -12p Solving 8 + -3p = 1 + -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 = 1 + -12p + 12p Combine like terms: -3p + 12p = 9p 8 + 9p = 1 + -12p + 12p Combine like terms: -12p + 12p = 0 8 + 9p = 1 + 0 8 + 9p = 1 Add '-8' to each side of the equation. 8 + -8 + 9p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = 1 + -8 9p = 1 + -8 Combine like terms: 1 + -8 = -7 9p = -7 Divide each side by '9'. p = -0.7777777778 Simplifying p = -0.7777777778
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