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Simplifying 10p + 9 + -11 = -2(2p + 4) + -1(2p + -2) Reorder the terms: 9 + -11 + 10p = -2(2p + 4) + -1(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p = -2(2p + 4) + -1(2p + -2) Reorder the terms: -2 + 10p = -2(4 + 2p) + -1(2p + -2) -2 + 10p = (4 * -2 + 2p * -2) + -1(2p + -2) -2 + 10p = (-8 + -4p) + -1(2p + -2) Reorder the terms: -2 + 10p = -8 + -4p + -1(-2 + 2p) -2 + 10p = -8 + -4p + (-2 * -1 + 2p * -1) -2 + 10p = -8 + -4p + (2 + -2p) Reorder the terms: -2 + 10p = -8 + 2 + -4p + -2p Combine like terms: -8 + 2 = -6 -2 + 10p = -6 + -4p + -2p Combine like terms: -4p + -2p = -6p -2 + 10p = -6 + -6p Solving -2 + 10p = -6 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -2 + 10p + 6p = -6 + -6p + 6p Combine like terms: 10p + 6p = 16p -2 + 16p = -6 + -6p + 6p Combine like terms: -6p + 6p = 0 -2 + 16p = -6 + 0 -2 + 16p = -6 Add '2' to each side of the equation. -2 + 2 + 16p = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 16p = -6 + 2 16p = -6 + 2 Combine like terms: -6 + 2 = -4 16p = -4 Divide each side by '16'. p = -0.25 Simplifying p = -0.25
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