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Simplifying 2(5 + -1q) + -1(p + -3q) = 0 (5 * 2 + -1q * 2) + -1(p + -3q) = 0 (10 + -2q) + -1(p + -3q) = 0 10 + -2q + (p * -1 + -3q * -1) = 0 10 + -2q + (-1p + 3q) = 0 Reorder the terms: 10 + -1p + -2q + 3q = 0 Combine like terms: -2q + 3q = 1q 10 + -1p + 1q = 0 Solving 10 + -1p + 1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1p + -10 + 1q = 0 + -10 Reorder the terms: 10 + -10 + -1p + 1q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1p + 1q = 0 + -10 -1p + 1q = 0 + -10 Combine like terms: 0 + -10 = -10 -1p + 1q = -10 Add '-1q' to each side of the equation. -1p + 1q + -1q = -10 + -1q Combine like terms: 1q + -1q = 0 -1p + 0 = -10 + -1q -1p = -10 + -1q Divide each side by '-1'. p = 10 + q Simplifying p = 10 + q
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