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Simplifying 2p + -1q + 3p + 4q = 5p + -5q Reorder the terms: 2p + 3p + -1q + 4q = 5p + -5q Combine like terms: 2p + 3p = 5p 5p + -1q + 4q = 5p + -5q Combine like terms: -1q + 4q = 3q 5p + 3q = 5p + -5q Add '-5p' to each side of the equation. 5p + -5p + 3q = 5p + -5p + -5q Combine like terms: 5p + -5p = 0 0 + 3q = 5p + -5p + -5q 3q = 5p + -5p + -5q Combine like terms: 5p + -5p = 0 3q = 0 + -5q 3q = -5q Solving 3q = -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 3q + 5q = -5q + 5q Combine like terms: 3q + 5q = 8q 8q = -5q + 5q Combine like terms: -5q + 5q = 0 8q = 0 Divide each side by '8'. q = 0 Simplifying q = 0
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