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Simplifying 4(3p + 4) + -6p = 46 Reorder the terms: 4(4 + 3p) + -6p = 46 (4 * 4 + 3p * 4) + -6p = 46 (16 + 12p) + -6p = 46 Combine like terms: 12p + -6p = 6p 16 + 6p = 46 Solving 16 + 6p = 46 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6p = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 6p = 46 + -16 6p = 46 + -16 Combine like terms: 46 + -16 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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