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Simplifying -4p + 9 = -2(2p + 4) + -3(2p + -2) Reorder the terms: 9 + -4p = -2(2p + 4) + -3(2p + -2) Reorder the terms: 9 + -4p = -2(4 + 2p) + -3(2p + -2) 9 + -4p = (4 * -2 + 2p * -2) + -3(2p + -2) 9 + -4p = (-8 + -4p) + -3(2p + -2) Reorder the terms: 9 + -4p = -8 + -4p + -3(-2 + 2p) 9 + -4p = -8 + -4p + (-2 * -3 + 2p * -3) 9 + -4p = -8 + -4p + (6 + -6p) Reorder the terms: 9 + -4p = -8 + 6 + -4p + -6p Combine like terms: -8 + 6 = -2 9 + -4p = -2 + -4p + -6p Combine like terms: -4p + -6p = -10p 9 + -4p = -2 + -10p Solving 9 + -4p = -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. 9 + -4p + 10p = -2 + -10p + 10p Combine like terms: -4p + 10p = 6p 9 + 6p = -2 + -10p + 10p Combine like terms: -10p + 10p = 0 9 + 6p = -2 + 0 9 + 6p = -2 Add '-9' to each side of the equation. 9 + -9 + 6p = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 6p = -2 + -9 6p = -2 + -9 Combine like terms: -2 + -9 = -11 6p = -11 Divide each side by '6'. p = -1.833333333 Simplifying p = -1.833333333
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