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Simplifying 3q + 7 = 5q + -3 Reorder the terms: 7 + 3q = 5q + -3 Reorder the terms: 7 + 3q = -3 + 5q Solving 7 + 3q = -3 + 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. 7 + 3q + -5q = -3 + 5q + -5q Combine like terms: 3q + -5q = -2q 7 + -2q = -3 + 5q + -5q Combine like terms: 5q + -5q = 0 7 + -2q = -3 + 0 7 + -2q = -3 Add '-7' to each side of the equation. 7 + -7 + -2q = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2q = -3 + -7 -2q = -3 + -7 Combine like terms: -3 + -7 = -10 -2q = -10 Divide each side by '-2'. q = 5 Simplifying q = 5
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