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Simplifying 7q + 3 = 3q + 7 + 40 Reorder the terms: 3 + 7q = 3q + 7 + 40 Reorder the terms: 3 + 7q = 7 + 40 + 3q Combine like terms: 7 + 40 = 47 3 + 7q = 47 + 3q Solving 3 + 7q = 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. 3 + 7q + -3q = 47 + 3q + -3q Combine like terms: 7q + -3q = 4q 3 + 4q = 47 + 3q + -3q Combine like terms: 3q + -3q = 0 3 + 4q = 47 + 0 3 + 4q = 47 Add '-3' to each side of the equation. 3 + -3 + 4q = 47 + -3 Combine like terms: 3 + -3 = 0 0 + 4q = 47 + -3 4q = 47 + -3 Combine like terms: 47 + -3 = 44 4q = 44 Divide each side by '4'. q = 11 Simplifying q = 11
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