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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + -3(32p + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + -3(32p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + -3(32p + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + -3(32p + -2) Reorder the terms: -2 + 9p = -2(4 + 2p) + -3(32p + -2) -2 + 9p = (4 * -2 + 2p * -2) + -3(32p + -2) -2 + 9p = (-8 + -4p) + -3(32p + -2) Reorder the terms: -2 + 9p = -8 + -4p + -3(-2 + 32p) -2 + 9p = -8 + -4p + (-2 * -3 + 32p * -3) -2 + 9p = -8 + -4p + (6 + -96p) Reorder the terms: -2 + 9p = -8 + 6 + -4p + -96p Combine like terms: -8 + 6 = -2 -2 + 9p = -2 + -4p + -96p Combine like terms: -4p + -96p = -100p -2 + 9p = -2 + -100p Add '2' to each side of the equation. -2 + 2 + 9p = -2 + 2 + -100p Combine like terms: -2 + 2 = 0 0 + 9p = -2 + 2 + -100p 9p = -2 + 2 + -100p Combine like terms: -2 + 2 = 0 9p = 0 + -100p 9p = -100p Solving 9p = -100p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '100p' to each side of the equation. 9p + 100p = -100p + 100p Combine like terms: 9p + 100p = 109p 109p = -100p + 100p Combine like terms: -100p + 100p = 0 109p = 0 Divide each side by '109'. p = 0 Simplifying p = 0
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