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Simplifying 6 + -1(2p + 3) + 5(p + -1) = 0 Reorder the terms: 6 + -1(3 + 2p) + 5(p + -1) = 0 6 + (3 * -1 + 2p * -1) + 5(p + -1) = 0 6 + (-3 + -2p) + 5(p + -1) = 0 Reorder the terms: 6 + -3 + -2p + 5(-1 + p) = 0 6 + -3 + -2p + (-1 * 5 + p * 5) = 0 6 + -3 + -2p + (-5 + 5p) = 0 Reorder the terms: 6 + -3 + -5 + -2p + 5p = 0 Combine like terms: 6 + -3 = 3 3 + -5 + -2p + 5p = 0 Combine like terms: 3 + -5 = -2 -2 + -2p + 5p = 0 Combine like terms: -2p + 5p = 3p -2 + 3p = 0 Solving -2 + 3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3p = 0 + 2 3p = 0 + 2 Combine like terms: 0 + 2 = 2 3p = 2 Divide each side by '3'. p = 0.6666666667 Simplifying p = 0.6666666667
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