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Simplifying 9 = -5(-1p + -2) + 2(-2 + -3) Reorder the terms: 9 = -5(-2 + -1p) + 2(-2 + -3) 9 = (-2 * -5 + -1p * -5) + 2(-2 + -3) 9 = (10 + 5p) + 2(-2 + -3) Combine like terms: -2 + -3 = -5 9 = 10 + 5p + 2(-5) Multiply 2 * -5 9 = 10 + 5p + -10 Reorder the terms: 9 = 10 + -10 + 5p Combine like terms: 10 + -10 = 0 9 = 0 + 5p 9 = 5p Solving 9 = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 9 + -5p = 5p + -5p Combine like terms: 5p + -5p = 0 9 + -5p = 0 Add '-9' to each side of the equation. 9 + -9 + -5p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5p = 0 + -9 -5p = 0 + -9 Combine like terms: 0 + -9 = -9 -5p = -9 Divide each side by '-5'. p = 1.8 Simplifying p = 1.8
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