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Simplifying 7(4p + 6) + -3(2p + -9) + -5 = 0 Reorder the terms: 7(6 + 4p) + -3(2p + -9) + -5 = 0 (6 * 7 + 4p * 7) + -3(2p + -9) + -5 = 0 (42 + 28p) + -3(2p + -9) + -5 = 0 Reorder the terms: 42 + 28p + -3(-9 + 2p) + -5 = 0 42 + 28p + (-9 * -3 + 2p * -3) + -5 = 0 42 + 28p + (27 + -6p) + -5 = 0 Reorder the terms: 42 + 27 + -5 + 28p + -6p = 0 Combine like terms: 42 + 27 = 69 69 + -5 + 28p + -6p = 0 Combine like terms: 69 + -5 = 64 64 + 28p + -6p = 0 Combine like terms: 28p + -6p = 22p 64 + 22p = 0 Solving 64 + 22p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 22p = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 22p = 0 + -64 22p = 0 + -64 Combine like terms: 0 + -64 = -64 22p = -64 Divide each side by '22'. p = -2.909090909 Simplifying p = -2.909090909
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