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Simplifying 9 + -8.1p = -3.1p + -1(6p + -1) Reorder the terms: 9 + -8.1p = -3.1p + -1(-1 + 6p) 9 + -8.1p = -3.1p + (-1 * -1 + 6p * -1) 9 + -8.1p = -3.1p + (1 + -6p) Reorder the terms: 9 + -8.1p = 1 + -3.1p + -6p Combine like terms: -3.1p + -6p = -9.1p 9 + -8.1p = 1 + -9.1p Solving 9 + -8.1p = 1 + -9.1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9.1p' to each side of the equation. 9 + -8.1p + 9.1p = 1 + -9.1p + 9.1p Combine like terms: -8.1p + 9.1p = 1p 9 + 1p = 1 + -9.1p + 9.1p Combine like terms: -9.1p + 9.1p = 0.0 9 + 1p = 1 + 0.0 9 + 1p = 1 Add '-9' to each side of the equation. 9 + -9 + 1p = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1p = 1 + -9 1p = 1 + -9 Combine like terms: 1 + -9 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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