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Simplifying 12q + -5 = 5q + -2 Reorder the terms: -5 + 12q = 5q + -2 Reorder the terms: -5 + 12q = -2 + 5q Solving -5 + 12q = -2 + 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. -5 + 12q + -5q = -2 + 5q + -5q Combine like terms: 12q + -5q = 7q -5 + 7q = -2 + 5q + -5q Combine like terms: 5q + -5q = 0 -5 + 7q = -2 + 0 -5 + 7q = -2 Add '5' to each side of the equation. -5 + 5 + 7q = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 7q = -2 + 5 7q = -2 + 5 Combine like terms: -2 + 5 = 3 7q = 3 Divide each side by '7'. q = 0.4285714286 Simplifying q = 0.4285714286
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