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Simplifying 7q + 10 + 50 = 12q + 15 Reorder the terms: 10 + 50 + 7q = 12q + 15 Combine like terms: 10 + 50 = 60 60 + 7q = 12q + 15 Reorder the terms: 60 + 7q = 15 + 12q Solving 60 + 7q = 15 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 60 + 7q + -12q = 15 + 12q + -12q Combine like terms: 7q + -12q = -5q 60 + -5q = 15 + 12q + -12q Combine like terms: 12q + -12q = 0 60 + -5q = 15 + 0 60 + -5q = 15 Add '-60' to each side of the equation. 60 + -60 + -5q = 15 + -60 Combine like terms: 60 + -60 = 0 0 + -5q = 15 + -60 -5q = 15 + -60 Combine like terms: 15 + -60 = -45 -5q = -45 Divide each side by '-5'. q = 9 Simplifying q = 9
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