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Simplifying 10p + 9 + -11 + -1p = -2(2p + 4) + -3(2 + -2) Reorder the terms: 9 + -11 + 10p + -1p = -2(2p + 4) + -3(2 + -2) Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -2(2p + 4) + -3(2 + -2) Combine like terms: 10p + -1p = 9p -2 + 9p = -2(2p + 4) + -3(2 + -2) Reorder the terms: -2 + 9p = -2(4 + 2p) + -3(2 + -2) -2 + 9p = (4 * -2 + 2p * -2) + -3(2 + -2) -2 + 9p = (-8 + -4p) + -3(2 + -2) Combine like terms: 2 + -2 = 0 -2 + 9p = -8 + -4p + -3(0) Multiply -3 * 0 -2 + 9p = -8 + -4p + 0 Anything times zero is zero. -2 + 9p = -8 + -4p + 0 Reorder the terms: -2 + 9p = -8 + 0 + -4p Combine like terms: -8 + 0 = -8 -2 + 9p = -8 + -4p Solving -2 + 9p = -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. -2 + 9p + 4p = -8 + -4p + 4p Combine like terms: 9p + 4p = 13p -2 + 13p = -8 + -4p + 4p Combine like terms: -4p + 4p = 0 -2 + 13p = -8 + 0 -2 + 13p = -8 Add '2' to each side of the equation. -2 + 2 + 13p = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 13p = -8 + 2 13p = -8 + 2 Combine like terms: -8 + 2 = -6 13p = -6 Divide each side by '13'. p = -0.4615384615 Simplifying p = -0.4615384615
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