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Simplifying 4p + 9 = 3(2 + -1p) Reorder the terms: 9 + 4p = 3(2 + -1p) 9 + 4p = (2 * 3 + -1p * 3) 9 + 4p = (6 + -3p) Solving 9 + 4p = 6 + -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. 9 + 4p + 3p = 6 + -3p + 3p Combine like terms: 4p + 3p = 7p 9 + 7p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 9 + 7p = 6 + 0 9 + 7p = 6 Add '-9' to each side of the equation. 9 + -9 + 7p = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 7p = 6 + -9 7p = 6 + -9 Combine like terms: 6 + -9 = -3 7p = -3 Divide each side by '7'. p = -0.4285714286 Simplifying p = -0.4285714286
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