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Simplifying (5p + -4) + -1(3p + 2) = 0 Reorder the terms: (-4 + 5p) + -1(3p + 2) = 0 Remove parenthesis around (-4 + 5p) -4 + 5p + -1(3p + 2) = 0 Reorder the terms: -4 + 5p + -1(2 + 3p) = 0 -4 + 5p + (2 * -1 + 3p * -1) = 0 -4 + 5p + (-2 + -3p) = 0 Reorder the terms: -4 + -2 + 5p + -3p = 0 Combine like terms: -4 + -2 = -6 -6 + 5p + -3p = 0 Combine like terms: 5p + -3p = 2p -6 + 2p = 0 Solving -6 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = 0 + 6 2p = 0 + 6 Combine like terms: 0 + 6 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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