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Simplifying 10p + 9 + -11 + -1 = -2(2p + 4) + -3(2 + -2) Reorder the terms: 9 + -11 + -1 + 10p = -2(2p + 4) + -3(2 + -2) Combine like terms: 9 + -11 = -2 -2 + -1 + 10p = -2(2p + 4) + -3(2 + -2) Combine like terms: -2 + -1 = -3 -3 + 10p = -2(2p + 4) + -3(2 + -2) Reorder the terms: -3 + 10p = -2(4 + 2p) + -3(2 + -2) -3 + 10p = (4 * -2 + 2p * -2) + -3(2 + -2) -3 + 10p = (-8 + -4p) + -3(2 + -2) Combine like terms: 2 + -2 = 0 -3 + 10p = -8 + -4p + -3(0) Multiply -3 * 0 -3 + 10p = -8 + -4p + 0 Anything times zero is zero. -3 + 10p = -8 + -4p + 0 Reorder the terms: -3 + 10p = -8 + 0 + -4p Combine like terms: -8 + 0 = -8 -3 + 10p = -8 + -4p Solving -3 + 10p = -8 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -3 + 10p + 4p = -8 + -4p + 4p Combine like terms: 10p + 4p = 14p -3 + 14p = -8 + -4p + 4p Combine like terms: -4p + 4p = 0 -3 + 14p = -8 + 0 -3 + 14p = -8 Add '3' to each side of the equation. -3 + 3 + 14p = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 14p = -8 + 3 14p = -8 + 3 Combine like terms: -8 + 3 = -5 14p = -5 Divide each side by '14'. p = -0.3571428571 Simplifying p = -0.3571428571
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