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Simplifying (5 + -1p + -4q) + -1(-2 + q + -3p) = 0 Remove parenthesis around (5 + -1p + -4q) 5 + -1p + -4q + -1(-2 + q + -3p) = 0 Reorder the terms: 5 + -1p + -4q + -1(-2 + -3p + q) = 0 5 + -1p + -4q + (-2 * -1 + -3p * -1 + q * -1) = 0 5 + -1p + -4q + (2 + 3p + -1q) = 0 Reorder the terms: 5 + 2 + -1p + 3p + -4q + -1q = 0 Combine like terms: 5 + 2 = 7 7 + -1p + 3p + -4q + -1q = 0 Combine like terms: -1p + 3p = 2p 7 + 2p + -4q + -1q = 0 Combine like terms: -4q + -1q = -5q 7 + 2p + -5q = 0 Solving 7 + 2p + -5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2p + -7 + -5q = 0 + -7 Reorder the terms: 7 + -7 + 2p + -5q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2p + -5q = 0 + -7 2p + -5q = 0 + -7 Combine like terms: 0 + -7 = -7 2p + -5q = -7 Add '5q' to each side of the equation. 2p + -5q + 5q = -7 + 5q Combine like terms: -5q + 5q = 0 2p + 0 = -7 + 5q 2p = -7 + 5q Divide each side by '2'. p = -3.5 + 2.5q Simplifying p = -3.5 + 2.5q
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