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Simplifying 3(p + 6) = 4p + 9 Reorder the terms: 3(6 + p) = 4p + 9 (6 * 3 + p * 3) = 4p + 9 (18 + 3p) = 4p + 9 Reorder the terms: 18 + 3p = 9 + 4p Solving 18 + 3p = 9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 18 + 3p + -4p = 9 + 4p + -4p Combine like terms: 3p + -4p = -1p 18 + -1p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 18 + -1p = 9 + 0 18 + -1p = 9 Add '-18' to each side of the equation. 18 + -18 + -1p = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -1p = 9 + -18 -1p = 9 + -18 Combine like terms: 9 + -18 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9
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