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Simplifying 5q + -2 = 3q + 4 Reorder the terms: -2 + 5q = 3q + 4 Reorder the terms: -2 + 5q = 4 + 3q Solving -2 + 5q = 4 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -2 + 5q + -3q = 4 + 3q + -3q Combine like terms: 5q + -3q = 2q -2 + 2q = 4 + 3q + -3q Combine like terms: 3q + -3q = 0 -2 + 2q = 4 + 0 -2 + 2q = 4 Add '2' to each side of the equation. -2 + 2 + 2q = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2q = 4 + 2 2q = 4 + 2 Combine like terms: 4 + 2 = 6 2q = 6 Divide each side by '2'. q = 3 Simplifying q = 3
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