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Simplifying 40 + -2q = -9 + 5q Solving 40 + -2q = -9 + 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. 40 + -2q + -5q = -9 + 5q + -5q Combine like terms: -2q + -5q = -7q 40 + -7q = -9 + 5q + -5q Combine like terms: 5q + -5q = 0 40 + -7q = -9 + 0 40 + -7q = -9 Add '-40' to each side of the equation. 40 + -40 + -7q = -9 + -40 Combine like terms: 40 + -40 = 0 0 + -7q = -9 + -40 -7q = -9 + -40 Combine like terms: -9 + -40 = -49 -7q = -49 Divide each side by '-7'. q = 7 Simplifying q = 7
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