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Simplifying 2(2p + -3) = 3(1 + -1p) Reorder the terms: 2(-3 + 2p) = 3(1 + -1p) (-3 * 2 + 2p * 2) = 3(1 + -1p) (-6 + 4p) = 3(1 + -1p) -6 + 4p = (1 * 3 + -1p * 3) -6 + 4p = (3 + -3p) Solving -6 + 4p = 3 + -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. -6 + 4p + 3p = 3 + -3p + 3p Combine like terms: 4p + 3p = 7p -6 + 7p = 3 + -3p + 3p Combine like terms: -3p + 3p = 0 -6 + 7p = 3 + 0 -6 + 7p = 3 Add '6' to each side of the equation. -6 + 6 + 7p = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 7p = 3 + 6 7p = 3 + 6 Combine like terms: 3 + 6 = 9 7p = 9 Divide each side by '7'. p = 1.285714286 Simplifying p = 1.285714286
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