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Simplifying 12q + 3 + -7 = 4 + 5q + -1 Reorder the terms: 3 + -7 + 12q = 4 + 5q + -1 Combine like terms: 3 + -7 = -4 -4 + 12q = 4 + 5q + -1 Reorder the terms: -4 + 12q = 4 + -1 + 5q Combine like terms: 4 + -1 = 3 -4 + 12q = 3 + 5q Solving -4 + 12q = 3 + 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. -4 + 12q + -5q = 3 + 5q + -5q Combine like terms: 12q + -5q = 7q -4 + 7q = 3 + 5q + -5q Combine like terms: 5q + -5q = 0 -4 + 7q = 3 + 0 -4 + 7q = 3 Add '4' to each side of the equation. -4 + 4 + 7q = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7q = 3 + 4 7q = 3 + 4 Combine like terms: 3 + 4 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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