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Simplifying 46 = 3(2 + 4p) + 4 46 = (2 * 3 + 4p * 3) + 4 46 = (6 + 12p) + 4 Reorder the terms: 46 = 6 + 4 + 12p Combine like terms: 6 + 4 = 10 46 = 10 + 12p Solving 46 = 10 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 46 + -12p = 10 + 12p + -12p Combine like terms: 12p + -12p = 0 46 + -12p = 10 + 0 46 + -12p = 10 Add '-46' to each side of the equation. 46 + -46 + -12p = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -12p = 10 + -46 -12p = 10 + -46 Combine like terms: 10 + -46 = -36 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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