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Simplifying 10p + 9p + -11 + -1p = -2(2p + -4) + -3(2p + -2) Reorder the terms: -11 + 10p + 9p + -1p = -2(2p + -4) + -3(2p + -2) Combine like terms: 10p + 9p = 19p -11 + 19p + -1p = -2(2p + -4) + -3(2p + -2) Combine like terms: 19p + -1p = 18p -11 + 18p = -2(2p + -4) + -3(2p + -2) Reorder the terms: -11 + 18p = -2(-4 + 2p) + -3(2p + -2) -11 + 18p = (-4 * -2 + 2p * -2) + -3(2p + -2) -11 + 18p = (8 + -4p) + -3(2p + -2) Reorder the terms: -11 + 18p = 8 + -4p + -3(-2 + 2p) -11 + 18p = 8 + -4p + (-2 * -3 + 2p * -3) -11 + 18p = 8 + -4p + (6 + -6p) Reorder the terms: -11 + 18p = 8 + 6 + -4p + -6p Combine like terms: 8 + 6 = 14 -11 + 18p = 14 + -4p + -6p Combine like terms: -4p + -6p = -10p -11 + 18p = 14 + -10p Solving -11 + 18p = 14 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -11 + 18p + 10p = 14 + -10p + 10p Combine like terms: 18p + 10p = 28p -11 + 28p = 14 + -10p + 10p Combine like terms: -10p + 10p = 0 -11 + 28p = 14 + 0 -11 + 28p = 14 Add '11' to each side of the equation. -11 + 11 + 28p = 14 + 11 Combine like terms: -11 + 11 = 0 0 + 28p = 14 + 11 28p = 14 + 11 Combine like terms: 14 + 11 = 25 28p = 25 Divide each side by '28'. p = 0.8928571429 Simplifying p = 0.8928571429
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