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Simplifying 12p + 3 = 3(p + 7) Reorder the terms: 3 + 12p = 3(p + 7) Reorder the terms: 3 + 12p = 3(7 + p) 3 + 12p = (7 * 3 + p * 3) 3 + 12p = (21 + 3p) Solving 3 + 12p = 21 + 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. 3 + 12p + -3p = 21 + 3p + -3p Combine like terms: 12p + -3p = 9p 3 + 9p = 21 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + 9p = 21 + 0 3 + 9p = 21 Add '-3' to each side of the equation. 3 + -3 + 9p = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 21 + -3 9p = 21 + -3 Combine like terms: 21 + -3 = 18 9p = 18 Divide each side by '9'. p = 2 Simplifying p = 2
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