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Simplifying 2(2p + -5) + -1(p + 4) = 0 Reorder the terms: 2(-5 + 2p) + -1(p + 4) = 0 (-5 * 2 + 2p * 2) + -1(p + 4) = 0 (-10 + 4p) + -1(p + 4) = 0 Reorder the terms: -10 + 4p + -1(4 + p) = 0 -10 + 4p + (4 * -1 + p * -1) = 0 -10 + 4p + (-4 + -1p) = 0 Reorder the terms: -10 + -4 + 4p + -1p = 0 Combine like terms: -10 + -4 = -14 -14 + 4p + -1p = 0 Combine like terms: 4p + -1p = 3p -14 + 3p = 0 Solving -14 + 3p = 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 + 3p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3p = 0 + 14 3p = 0 + 14 Combine like terms: 0 + 14 = 14 3p = 14 Divide each side by '3'. p = 4.666666667 Simplifying p = 4.666666667
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