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