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Simplifying 6(5p + -3q + 1) = 0 Reorder the terms: 6(1 + 5p + -3q) = 0 (1 * 6 + 5p * 6 + -3q * 6) = 0 (6 + 30p + -18q) = 0 Solving 6 + 30p + -18q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 30p + -6 + -18q = 0 + -6 Reorder the terms: 6 + -6 + 30p + -18q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 30p + -18q = 0 + -6 30p + -18q = 0 + -6 Combine like terms: 0 + -6 = -6 30p + -18q = -6 Add '18q' to each side of the equation. 30p + -18q + 18q = -6 + 18q Combine like terms: -18q + 18q = 0 30p + 0 = -6 + 18q 30p = -6 + 18q Divide each side by '30'. p = -0.2 + 0.6q Simplifying p = -0.2 + 0.6q
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