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Simplifying 6p + 42q + 12 = 0 Reorder the terms: 12 + 6p + 42q = 0 Solving 12 + 6p + 42q = 0 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 + 6p + -12 + 42q = 0 + -12 Reorder the terms: 12 + -12 + 6p + 42q = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6p + 42q = 0 + -12 6p + 42q = 0 + -12 Combine like terms: 0 + -12 = -12 6p + 42q = -12 Add '-42q' to each side of the equation. 6p + 42q + -42q = -12 + -42q Combine like terms: 42q + -42q = 0 6p + 0 = -12 + -42q 6p = -12 + -42q Divide each side by '6'. p = -2 + -7q Simplifying p = -2 + -7q
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