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