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Simplifying 7q + -6 = 5q + -22 Reorder the terms: -6 + 7q = 5q + -22 Reorder the terms: -6 + 7q = -22 + 5q Solving -6 + 7q = -22 + 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. -6 + 7q + -5q = -22 + 5q + -5q Combine like terms: 7q + -5q = 2q -6 + 2q = -22 + 5q + -5q Combine like terms: 5q + -5q = 0 -6 + 2q = -22 + 0 -6 + 2q = -22 Add '6' to each side of the equation. -6 + 6 + 2q = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 2q = -22 + 6 2q = -22 + 6 Combine like terms: -22 + 6 = -16 2q = -16 Divide each side by '2'. q = -8 Simplifying q = -8
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