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Simplifying 6(2p + -7q + 11) = 0 Reorder the terms: 6(11 + 2p + -7q) = 0 (11 * 6 + 2p * 6 + -7q * 6) = 0 (66 + 12p + -42q) = 0 Solving 66 + 12p + -42q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + 12p + -66 + -42q = 0 + -66 Reorder the terms: 66 + -66 + 12p + -42q = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 12p + -42q = 0 + -66 12p + -42q = 0 + -66 Combine like terms: 0 + -66 = -66 12p + -42q = -66 Add '42q' to each side of the equation. 12p + -42q + 42q = -66 + 42q Combine like terms: -42q + 42q = 0 12p + 0 = -66 + 42q 12p = -66 + 42q Divide each side by '12'. p = -5.5 + 3.5q Simplifying p = -5.5 + 3.5q
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