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Simplifying 7q + 2 = 11q + -8q Reorder the terms: 2 + 7q = 11q + -8q Combine like terms: 11q + -8q = 3q 2 + 7q = 3q Solving 2 + 7q = 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 2 + 7q + -3q = 3q + -3q Combine like terms: 7q + -3q = 4q 2 + 4q = 3q + -3q Combine like terms: 3q + -3q = 0 2 + 4q = 0 Add '-2' to each side of the equation. 2 + -2 + 4q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4q = 0 + -2 4q = 0 + -2 Combine like terms: 0 + -2 = -2 4q = -2 Divide each side by '4'. q = -0.5 Simplifying q = -0.5
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