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Simplifying 9 + -1(8p + -5) + 4p = 6(2p + 1) Reorder the terms: 9 + -1(-5 + 8p) + 4p = 6(2p + 1) 9 + (-5 * -1 + 8p * -1) + 4p = 6(2p + 1) 9 + (5 + -8p) + 4p = 6(2p + 1) Combine like terms: 9 + 5 = 14 14 + -8p + 4p = 6(2p + 1) Combine like terms: -8p + 4p = -4p 14 + -4p = 6(2p + 1) Reorder the terms: 14 + -4p = 6(1 + 2p) 14 + -4p = (1 * 6 + 2p * 6) 14 + -4p = (6 + 12p) Solving 14 + -4p = 6 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 14 + -4p + -12p = 6 + 12p + -12p Combine like terms: -4p + -12p = -16p 14 + -16p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 14 + -16p = 6 + 0 14 + -16p = 6 Add '-14' to each side of the equation. 14 + -14 + -16p = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -16p = 6 + -14 -16p = 6 + -14 Combine like terms: 6 + -14 = -8 -16p = -8 Divide each side by '-16'. p = 0.5 Simplifying p = 0.5
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