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Simplifying -1q + -7 = -6q + 12 Reorder the terms: -7 + -1q = -6q + 12 Reorder the terms: -7 + -1q = 12 + -6q Solving -7 + -1q = 12 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -7 + -1q + 6q = 12 + -6q + 6q Combine like terms: -1q + 6q = 5q -7 + 5q = 12 + -6q + 6q Combine like terms: -6q + 6q = 0 -7 + 5q = 12 + 0 -7 + 5q = 12 Add '7' to each side of the equation. -7 + 7 + 5q = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 5q = 12 + 7 5q = 12 + 7 Combine like terms: 12 + 7 = 19 5q = 19 Divide each side by '5'. q = 3.8 Simplifying q = 3.8
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