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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + -11(2p + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + -11(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + -11(2p + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + -11(2p + -2) Reorder the terms: -2 + 9p = -2(4 + 2p) + -11(2p + -2) -2 + 9p = (4 * -2 + 2p * -2) + -11(2p + -2) -2 + 9p = (-8 + -4p) + -11(2p + -2) Reorder the terms: -2 + 9p = -8 + -4p + -11(-2 + 2p) -2 + 9p = -8 + -4p + (-2 * -11 + 2p * -11) -2 + 9p = -8 + -4p + (22 + -22p) Reorder the terms: -2 + 9p = -8 + 22 + -4p + -22p Combine like terms: -8 + 22 = 14 -2 + 9p = 14 + -4p + -22p Combine like terms: -4p + -22p = -26p -2 + 9p = 14 + -26p Solving -2 + 9p = 14 + -26p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26p' to each side of the equation. -2 + 9p + 26p = 14 + -26p + 26p Combine like terms: 9p + 26p = 35p -2 + 35p = 14 + -26p + 26p Combine like terms: -26p + 26p = 0 -2 + 35p = 14 + 0 -2 + 35p = 14 Add '2' to each side of the equation. -2 + 2 + 35p = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 35p = 14 + 2 35p = 14 + 2 Combine like terms: 14 + 2 = 16 35p = 16 Divide each side by '35'. p = 0.4571428571 Simplifying p = 0.4571428571
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