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Simplifying 3(p + 2) + 2(p + -1) = 0 Reorder the terms: 3(2 + p) + 2(p + -1) = 0 (2 * 3 + p * 3) + 2(p + -1) = 0 (6 + 3p) + 2(p + -1) = 0 Reorder the terms: 6 + 3p + 2(-1 + p) = 0 6 + 3p + (-1 * 2 + p * 2) = 0 6 + 3p + (-2 + 2p) = 0 Reorder the terms: 6 + -2 + 3p + 2p = 0 Combine like terms: 6 + -2 = 4 4 + 3p + 2p = 0 Combine like terms: 3p + 2p = 5p 4 + 5p = 0 Solving 4 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5p = 0 + -4 5p = 0 + -4 Combine like terms: 0 + -4 = -4 5p = -4 Divide each side by '5'. p = -0.8 Simplifying p = -0.8
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