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Simplifying 6(p + 2) = 42 Reorder the terms: 6(2 + p) = 42 (2 * 6 + p * 6) = 42 (12 + 6p) = 42 Solving 12 + 6p = 42 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6p = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6p = 42 + -12 6p = 42 + -12 Combine like terms: 42 + -12 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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