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Simplifying 5q + 7 = 4 + -2q Reorder the terms: 7 + 5q = 4 + -2q Solving 7 + 5q = 4 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 7 + 5q + 2q = 4 + -2q + 2q Combine like terms: 5q + 2q = 7q 7 + 7q = 4 + -2q + 2q Combine like terms: -2q + 2q = 0 7 + 7q = 4 + 0 7 + 7q = 4 Add '-7' to each side of the equation. 7 + -7 + 7q = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 7q = 4 + -7 7q = 4 + -7 Combine like terms: 4 + -7 = -3 7q = -3 Divide each side by '7'. q = -0.4285714286 Simplifying q = -0.4285714286
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