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Simplifying 3(2p + -1) = 5 + -1(3p + -2) Reorder the terms: 3(-1 + 2p) = 5 + -1(3p + -2) (-1 * 3 + 2p * 3) = 5 + -1(3p + -2) (-3 + 6p) = 5 + -1(3p + -2) Reorder the terms: -3 + 6p = 5 + -1(-2 + 3p) -3 + 6p = 5 + (-2 * -1 + 3p * -1) -3 + 6p = 5 + (2 + -3p) Combine like terms: 5 + 2 = 7 -3 + 6p = 7 + -3p Solving -3 + 6p = 7 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -3 + 6p + 3p = 7 + -3p + 3p Combine like terms: 6p + 3p = 9p -3 + 9p = 7 + -3p + 3p Combine like terms: -3p + 3p = 0 -3 + 9p = 7 + 0 -3 + 9p = 7 Add '3' to each side of the equation. -3 + 3 + 9p = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 9p = 7 + 3 9p = 7 + 3 Combine like terms: 7 + 3 = 10 9p = 10 Divide each side by '9'. p = 1.111111111 Simplifying p = 1.111111111
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