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Simplifying 6q + 44 = 7q + 17 Reorder the terms: 44 + 6q = 7q + 17 Reorder the terms: 44 + 6q = 17 + 7q Solving 44 + 6q = 17 + 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. 44 + 6q + -7q = 17 + 7q + -7q Combine like terms: 6q + -7q = -1q 44 + -1q = 17 + 7q + -7q Combine like terms: 7q + -7q = 0 44 + -1q = 17 + 0 44 + -1q = 17 Add '-44' to each side of the equation. 44 + -44 + -1q = 17 + -44 Combine like terms: 44 + -44 = 0 0 + -1q = 17 + -44 -1q = 17 + -44 Combine like terms: 17 + -44 = -27 -1q = -27 Divide each side by '-1'. q = 27 Simplifying q = 27
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