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Simplifying 5(p + -4) + -3(p + 2) = 0 Reorder the terms: 5(-4 + p) + -3(p + 2) = 0 (-4 * 5 + p * 5) + -3(p + 2) = 0 (-20 + 5p) + -3(p + 2) = 0 Reorder the terms: -20 + 5p + -3(2 + p) = 0 -20 + 5p + (2 * -3 + p * -3) = 0 -20 + 5p + (-6 + -3p) = 0 Reorder the terms: -20 + -6 + 5p + -3p = 0 Combine like terms: -20 + -6 = -26 -26 + 5p + -3p = 0 Combine like terms: 5p + -3p = 2p -26 + 2p = 0 Solving -26 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2p = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 2p = 0 + 26 2p = 0 + 26 Combine like terms: 0 + 26 = 26 2p = 26 Divide each side by '2'. p = 13 Simplifying p = 13
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