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Simplifying 10p + 9 + -11 + -1 = -2(2p + 4) + -3(2p + -2) Reorder the terms: 9 + -11 + -1 + 10p = -2(2p + 4) + -3(2p + -2) Combine like terms: 9 + -11 = -2 -2 + -1 + 10p = -2(2p + 4) + -3(2p + -2) Combine like terms: -2 + -1 = -3 -3 + 10p = -2(2p + 4) + -3(2p + -2) Reorder the terms: -3 + 10p = -2(4 + 2p) + -3(2p + -2) -3 + 10p = (4 * -2 + 2p * -2) + -3(2p + -2) -3 + 10p = (-8 + -4p) + -3(2p + -2) Reorder the terms: -3 + 10p = -8 + -4p + -3(-2 + 2p) -3 + 10p = -8 + -4p + (-2 * -3 + 2p * -3) -3 + 10p = -8 + -4p + (6 + -6p) Reorder the terms: -3 + 10p = -8 + 6 + -4p + -6p Combine like terms: -8 + 6 = -2 -3 + 10p = -2 + -4p + -6p Combine like terms: -4p + -6p = -10p -3 + 10p = -2 + -10p Solving -3 + 10p = -2 + -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. -3 + 10p + 10p = -2 + -10p + 10p Combine like terms: 10p + 10p = 20p -3 + 20p = -2 + -10p + 10p Combine like terms: -10p + 10p = 0 -3 + 20p = -2 + 0 -3 + 20p = -2 Add '3' to each side of the equation. -3 + 3 + 20p = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 20p = -2 + 3 20p = -2 + 3 Combine like terms: -2 + 3 = 1 20p = 1 Divide each side by '20'. p = 0.05 Simplifying p = 0.05
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