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Simplifying 6(p + 9 + 5q) = 0 Reorder the terms: 6(9 + p + 5q) = 0 (9 * 6 + p * 6 + 5q * 6) = 0 (54 + 6p + 30q) = 0 Solving 54 + 6p + 30q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 6p + -54 + 30q = 0 + -54 Reorder the terms: 54 + -54 + 6p + 30q = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 6p + 30q = 0 + -54 6p + 30q = 0 + -54 Combine like terms: 0 + -54 = -54 6p + 30q = -54 Add '-30q' to each side of the equation. 6p + 30q + -30q = -54 + -30q Combine like terms: 30q + -30q = 0 6p + 0 = -54 + -30q 6p = -54 + -30q Divide each side by '6'. p = -9 + -5q Simplifying p = -9 + -5q
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