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Simplifying 5q + 7 = 47 + -3q Reorder the terms: 7 + 5q = 47 + -3q Solving 7 + 5q = 47 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 7 + 5q + 3q = 47 + -3q + 3q Combine like terms: 5q + 3q = 8q 7 + 8q = 47 + -3q + 3q Combine like terms: -3q + 3q = 0 7 + 8q = 47 + 0 7 + 8q = 47 Add '-7' to each side of the equation. 7 + -7 + 8q = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 8q = 47 + -7 8q = 47 + -7 Combine like terms: 47 + -7 = 40 8q = 40 Divide each side by '8'. q = 5 Simplifying q = 5
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