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Simplifying 3(4p + 1) + -9p = 6(2 + -1p) Reorder the terms: 3(1 + 4p) + -9p = 6(2 + -1p) (1 * 3 + 4p * 3) + -9p = 6(2 + -1p) (3 + 12p) + -9p = 6(2 + -1p) Combine like terms: 12p + -9p = 3p 3 + 3p = 6(2 + -1p) 3 + 3p = (2 * 6 + -1p * 6) 3 + 3p = (12 + -6p) Solving 3 + 3p = 12 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 3 + 3p + 6p = 12 + -6p + 6p Combine like terms: 3p + 6p = 9p 3 + 9p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 3 + 9p = 12 + 0 3 + 9p = 12 Add '-3' to each side of the equation. 3 + -3 + 9p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 12 + -3 9p = 12 + -3 Combine like terms: 12 + -3 = 9 9p = 9 Divide each side by '9'. p = 1 Simplifying p = 1
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