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Simplifying 3p + -1(9p + 11) = 6 + -1(8p + -2) Reorder the terms: 3p + -1(11 + 9p) = 6 + -1(8p + -2) 3p + (11 * -1 + 9p * -1) = 6 + -1(8p + -2) 3p + (-11 + -9p) = 6 + -1(8p + -2) Reorder the terms: -11 + 3p + -9p = 6 + -1(8p + -2) Combine like terms: 3p + -9p = -6p -11 + -6p = 6 + -1(8p + -2) Reorder the terms: -11 + -6p = 6 + -1(-2 + 8p) -11 + -6p = 6 + (-2 * -1 + 8p * -1) -11 + -6p = 6 + (2 + -8p) Combine like terms: 6 + 2 = 8 -11 + -6p = 8 + -8p Solving -11 + -6p = 8 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -11 + -6p + 8p = 8 + -8p + 8p Combine like terms: -6p + 8p = 2p -11 + 2p = 8 + -8p + 8p Combine like terms: -8p + 8p = 0 -11 + 2p = 8 + 0 -11 + 2p = 8 Add '11' to each side of the equation. -11 + 11 + 2p = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 2p = 8 + 11 2p = 8 + 11 Combine like terms: 8 + 11 = 19 2p = 19 Divide each side by '2'. p = 9.5 Simplifying p = 9.5
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