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Simplifying 10 + 8.1p = -0.9p + -1(p + 2) Reorder the terms: 10 + 8.1p = -0.9p + -1(2 + p) 10 + 8.1p = -0.9p + (2 * -1 + p * -1) 10 + 8.1p = -0.9p + (-2 + -1p) Reorder the terms: 10 + 8.1p = -2 + -0.9p + -1p Combine like terms: -0.9p + -1p = -1.9p 10 + 8.1p = -2 + -1.9p Solving 10 + 8.1p = -2 + -1.9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1.9p' to each side of the equation. 10 + 8.1p + 1.9p = -2 + -1.9p + 1.9p Combine like terms: 8.1p + 1.9p = 10p 10 + 10p = -2 + -1.9p + 1.9p Combine like terms: -1.9p + 1.9p = 0.0 10 + 10p = -2 + 0.0 10 + 10p = -2 Add '-10' to each side of the equation. 10 + -10 + 10p = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 10p = -2 + -10 10p = -2 + -10 Combine like terms: -2 + -10 = -12 10p = -12 Divide each side by '10'. p = -1.2 Simplifying p = -1.2
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