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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + -4(2p + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + -4(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + -4(2p + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + -4(2p + -2) Reorder the terms: -2 + 9p = -2(4 + 2p) + -4(2p + -2) -2 + 9p = (4 * -2 + 2p * -2) + -4(2p + -2) -2 + 9p = (-8 + -4p) + -4(2p + -2) Reorder the terms: -2 + 9p = -8 + -4p + -4(-2 + 2p) -2 + 9p = -8 + -4p + (-2 * -4 + 2p * -4) -2 + 9p = -8 + -4p + (8 + -8p) Reorder the terms: -2 + 9p = -8 + 8 + -4p + -8p Combine like terms: -8 + 8 = 0 -2 + 9p = 0 + -4p + -8p -2 + 9p = -4p + -8p Combine like terms: -4p + -8p = -12p -2 + 9p = -12p Solving -2 + 9p = -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. -2 + 9p + 12p = -12p + 12p Combine like terms: 9p + 12p = 21p -2 + 21p = -12p + 12p Combine like terms: -12p + 12p = 0 -2 + 21p = 0 Add '2' to each side of the equation. -2 + 2 + 21p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 21p = 0 + 2 21p = 0 + 2 Combine like terms: 0 + 2 = 2 21p = 2 Divide each side by '21'. p = 0.09523809524 Simplifying p = 0.09523809524
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