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Simplifying 3(p + 4) + -2(4p + -1) = 2 Reorder the terms: 3(4 + p) + -2(4p + -1) = 2 (4 * 3 + p * 3) + -2(4p + -1) = 2 (12 + 3p) + -2(4p + -1) = 2 Reorder the terms: 12 + 3p + -2(-1 + 4p) = 2 12 + 3p + (-1 * -2 + 4p * -2) = 2 12 + 3p + (2 + -8p) = 2 Reorder the terms: 12 + 2 + 3p + -8p = 2 Combine like terms: 12 + 2 = 14 14 + 3p + -8p = 2 Combine like terms: 3p + -8p = -5p 14 + -5p = 2 Solving 14 + -5p = 2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5p = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -5p = 2 + -14 -5p = 2 + -14 Combine like terms: 2 + -14 = -12 -5p = -12 Divide each side by '-5'. p = 2.4 Simplifying p = 2.4
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