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Simplifying 4p + 8(1 + -1p) = 5p + 6(1 + -1p) 4p + (1 * 8 + -1p * 8) = 5p + 6(1 + -1p) 4p + (8 + -8p) = 5p + 6(1 + -1p) Reorder the terms: 8 + 4p + -8p = 5p + 6(1 + -1p) Combine like terms: 4p + -8p = -4p 8 + -4p = 5p + 6(1 + -1p) 8 + -4p = 5p + (1 * 6 + -1p * 6) 8 + -4p = 5p + (6 + -6p) Reorder the terms: 8 + -4p = 6 + 5p + -6p Combine like terms: 5p + -6p = -1p 8 + -4p = 6 + -1p Solving 8 + -4p = 6 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 8 + -4p + p = 6 + -1p + p Combine like terms: -4p + p = -3p 8 + -3p = 6 + -1p + p Combine like terms: -1p + p = 0 8 + -3p = 6 + 0 8 + -3p = 6 Add '-8' to each side of the equation. 8 + -8 + -3p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -3p = 6 + -8 -3p = 6 + -8 Combine like terms: 6 + -8 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667
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