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Simplifying 2(3p + 9) + -4(p + -5) = 0 Reorder the terms: 2(9 + 3p) + -4(p + -5) = 0 (9 * 2 + 3p * 2) + -4(p + -5) = 0 (18 + 6p) + -4(p + -5) = 0 Reorder the terms: 18 + 6p + -4(-5 + p) = 0 18 + 6p + (-5 * -4 + p * -4) = 0 18 + 6p + (20 + -4p) = 0 Reorder the terms: 18 + 20 + 6p + -4p = 0 Combine like terms: 18 + 20 = 38 38 + 6p + -4p = 0 Combine like terms: 6p + -4p = 2p 38 + 2p = 0 Solving 38 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2p = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 2p = 0 + -38 2p = 0 + -38 Combine like terms: 0 + -38 = -38 2p = -38 Divide each side by '2'. p = -19 Simplifying p = -19
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