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Simplifying 2q + -4 + 8 = 7q + -4 + -3 Reorder the terms: -4 + 8 + 2q = 7q + -4 + -3 Combine like terms: -4 + 8 = 4 4 + 2q = 7q + -4 + -3 Reorder the terms: 4 + 2q = -4 + -3 + 7q Combine like terms: -4 + -3 = -7 4 + 2q = -7 + 7q Solving 4 + 2q = -7 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 4 + 2q + -7q = -7 + 7q + -7q Combine like terms: 2q + -7q = -5q 4 + -5q = -7 + 7q + -7q Combine like terms: 7q + -7q = 0 4 + -5q = -7 + 0 4 + -5q = -7 Add '-4' to each side of the equation. 4 + -4 + -5q = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -5q = -7 + -4 -5q = -7 + -4 Combine like terms: -7 + -4 = -11 -5q = -11 Divide each side by '-5'. q = 2.2 Simplifying q = 2.2
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