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Simplifying 6(p + 7 + 9q) = 0 Reorder the terms: 6(7 + p + 9q) = 0 (7 * 6 + p * 6 + 9q * 6) = 0 (42 + 6p + 54q) = 0 Solving 42 + 6p + 54q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 6p + -42 + 54q = 0 + -42 Reorder the terms: 42 + -42 + 6p + 54q = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6p + 54q = 0 + -42 6p + 54q = 0 + -42 Combine like terms: 0 + -42 = -42 6p + 54q = -42 Add '-54q' to each side of the equation. 6p + 54q + -54q = -42 + -54q Combine like terms: 54q + -54q = 0 6p + 0 = -42 + -54q 6p = -42 + -54q Divide each side by '6'. p = -7 + -9q Simplifying p = -7 + -9q
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