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Simplifying 2(3p + -5) + -4(p + -6) = 0 Reorder the terms: 2(-5 + 3p) + -4(p + -6) = 0 (-5 * 2 + 3p * 2) + -4(p + -6) = 0 (-10 + 6p) + -4(p + -6) = 0 Reorder the terms: -10 + 6p + -4(-6 + p) = 0 -10 + 6p + (-6 * -4 + p * -4) = 0 -10 + 6p + (24 + -4p) = 0 Reorder the terms: -10 + 24 + 6p + -4p = 0 Combine like terms: -10 + 24 = 14 14 + 6p + -4p = 0 Combine like terms: 6p + -4p = 2p 14 + 2p = 0 Solving 14 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2p = 0 + -14 2p = 0 + -14 Combine like terms: 0 + -14 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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