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Simplifying 10q + 3 = 11q + 1 Reorder the terms: 3 + 10q = 11q + 1 Reorder the terms: 3 + 10q = 1 + 11q Solving 3 + 10q = 1 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 3 + 10q + -11q = 1 + 11q + -11q Combine like terms: 10q + -11q = -1q 3 + -1q = 1 + 11q + -11q Combine like terms: 11q + -11q = 0 3 + -1q = 1 + 0 3 + -1q = 1 Add '-3' to each side of the equation. 3 + -3 + -1q = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1q = 1 + -3 -1q = 1 + -3 Combine like terms: 1 + -3 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2
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