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Simplifying -3p + 8 = 6 + -1(9p + -3) Reorder the terms: 8 + -3p = 6 + -1(9p + -3) Reorder the terms: 8 + -3p = 6 + -1(-3 + 9p) 8 + -3p = 6 + (-3 * -1 + 9p * -1) 8 + -3p = 6 + (3 + -9p) Combine like terms: 6 + 3 = 9 8 + -3p = 9 + -9p Solving 8 + -3p = 9 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 8 + -3p + 9p = 9 + -9p + 9p Combine like terms: -3p + 9p = 6p 8 + 6p = 9 + -9p + 9p Combine like terms: -9p + 9p = 0 8 + 6p = 9 + 0 8 + 6p = 9 Add '-8' to each side of the equation. 8 + -8 + 6p = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 6p = 9 + -8 6p = 9 + -8 Combine like terms: 9 + -8 = 1 6p = 1 Divide each side by '6'. p = 0.1666666667 Simplifying p = 0.1666666667
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