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Simplifying 10p + 9 + -11 + -1p = -2(2p + 15) + -3(2p + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 15) + -3(2p + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 15) + -3(2p + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 15) + -3(2p + -2) Reorder the terms: -2 + 9p = -2(15 + 2p) + -3(2p + -2) -2 + 9p = (15 * -2 + 2p * -2) + -3(2p + -2) -2 + 9p = (-30 + -4p) + -3(2p + -2) Reorder the terms: -2 + 9p = -30 + -4p + -3(-2 + 2p) -2 + 9p = -30 + -4p + (-2 * -3 + 2p * -3) -2 + 9p = -30 + -4p + (6 + -6p) Reorder the terms: -2 + 9p = -30 + 6 + -4p + -6p Combine like terms: -30 + 6 = -24 -2 + 9p = -24 + -4p + -6p Combine like terms: -4p + -6p = -10p -2 + 9p = -24 + -10p Solving -2 + 9p = -24 + -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. -2 + 9p + 10p = -24 + -10p + 10p Combine like terms: 9p + 10p = 19p -2 + 19p = -24 + -10p + 10p Combine like terms: -10p + 10p = 0 -2 + 19p = -24 + 0 -2 + 19p = -24 Add '2' to each side of the equation. -2 + 2 + 19p = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 19p = -24 + 2 19p = -24 + 2 Combine like terms: -24 + 2 = -22 19p = -22 Divide each side by '19'. p = -1.157894737 Simplifying p = -1.157894737
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