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Simplifying 3(p + 1) + -2(2p + -3) = 0 Reorder the terms: 3(1 + p) + -2(2p + -3) = 0 (1 * 3 + p * 3) + -2(2p + -3) = 0 (3 + 3p) + -2(2p + -3) = 0 Reorder the terms: 3 + 3p + -2(-3 + 2p) = 0 3 + 3p + (-3 * -2 + 2p * -2) = 0 3 + 3p + (6 + -4p) = 0 Reorder the terms: 3 + 6 + 3p + -4p = 0 Combine like terms: 3 + 6 = 9 9 + 3p + -4p = 0 Combine like terms: 3p + -4p = -1p 9 + -1p = 0 Solving 9 + -1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9
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