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Simplifying 4(-1p + 1) = -1(10 + -9p) Reorder the terms: 4(1 + -1p) = -1(10 + -9p) (1 * 4 + -1p * 4) = -1(10 + -9p) (4 + -4p) = -1(10 + -9p) 4 + -4p = (10 * -1 + -9p * -1) 4 + -4p = (-10 + 9p) Solving 4 + -4p = -10 + 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. 4 + -4p + -9p = -10 + 9p + -9p Combine like terms: -4p + -9p = -13p 4 + -13p = -10 + 9p + -9p Combine like terms: 9p + -9p = 0 4 + -13p = -10 + 0 4 + -13p = -10 Add '-4' to each side of the equation. 4 + -4 + -13p = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -13p = -10 + -4 -13p = -10 + -4 Combine like terms: -10 + -4 = -14 -13p = -14 Divide each side by '-13'. p = 1.076923077 Simplifying p = 1.076923077
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