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Simplifying -3p + 8 = 5 + -1(9p + 4) Reorder the terms: 8 + -3p = 5 + -1(9p + 4) Reorder the terms: 8 + -3p = 5 + -1(4 + 9p) 8 + -3p = 5 + (4 * -1 + 9p * -1) 8 + -3p = 5 + (-4 + -9p) Combine like terms: 5 + -4 = 1 8 + -3p = 1 + -9p Solving 8 + -3p = 1 + -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 = 1 + -9p + 9p Combine like terms: -3p + 9p = 6p 8 + 6p = 1 + -9p + 9p Combine like terms: -9p + 9p = 0 8 + 6p = 1 + 0 8 + 6p = 1 Add '-8' to each side of the equation. 8 + -8 + 6p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6p = 1 + -8 6p = 1 + -8 Combine like terms: 1 + -8 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667
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