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Simplifying 3(4p + 1) = 7(p + 9) Reorder the terms: 3(1 + 4p) = 7(p + 9) (1 * 3 + 4p * 3) = 7(p + 9) (3 + 12p) = 7(p + 9) Reorder the terms: 3 + 12p = 7(9 + p) 3 + 12p = (9 * 7 + p * 7) 3 + 12p = (63 + 7p) Solving 3 + 12p = 63 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 3 + 12p + -7p = 63 + 7p + -7p Combine like terms: 12p + -7p = 5p 3 + 5p = 63 + 7p + -7p Combine like terms: 7p + -7p = 0 3 + 5p = 63 + 0 3 + 5p = 63 Add '-3' to each side of the equation. 3 + -3 + 5p = 63 + -3 Combine like terms: 3 + -3 = 0 0 + 5p = 63 + -3 5p = 63 + -3 Combine like terms: 63 + -3 = 60 5p = 60 Divide each side by '5'. p = 12 Simplifying p = 12
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