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Simplifying 15(p + 1 + 4q) = 0 Reorder the terms: 15(1 + p + 4q) = 0 (1 * 15 + p * 15 + 4q * 15) = 0 (15 + 15p + 60q) = 0 Solving 15 + 15p + 60q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 15p + -15 + 60q = 0 + -15 Reorder the terms: 15 + -15 + 15p + 60q = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 15p + 60q = 0 + -15 15p + 60q = 0 + -15 Combine like terms: 0 + -15 = -15 15p + 60q = -15 Add '-60q' to each side of the equation. 15p + 60q + -60q = -15 + -60q Combine like terms: 60q + -60q = 0 15p + 0 = -15 + -60q 15p = -15 + -60q Divide each side by '15'. p = -1 + -4q Simplifying p = -1 + -4q
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