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Simplifying 7(p + 1 + 6q) = 0 Reorder the terms: 7(1 + p + 6q) = 0 (1 * 7 + p * 7 + 6q * 7) = 0 (7 + 7p + 42q) = 0 Solving 7 + 7p + 42q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7p + -7 + 42q = 0 + -7 Reorder the terms: 7 + -7 + 7p + 42q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7p + 42q = 0 + -7 7p + 42q = 0 + -7 Combine like terms: 0 + -7 = -7 7p + 42q = -7 Add '-42q' to each side of the equation. 7p + 42q + -42q = -7 + -42q Combine like terms: 42q + -42q = 0 7p + 0 = -7 + -42q 7p = -7 + -42q Divide each side by '7'. p = -1 + -6q Simplifying p = -1 + -6q
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