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Simplifying 13q + -23 = 4q + 22 Reorder the terms: -23 + 13q = 4q + 22 Reorder the terms: -23 + 13q = 22 + 4q Solving -23 + 13q = 22 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -23 + 13q + -4q = 22 + 4q + -4q Combine like terms: 13q + -4q = 9q -23 + 9q = 22 + 4q + -4q Combine like terms: 4q + -4q = 0 -23 + 9q = 22 + 0 -23 + 9q = 22 Add '23' to each side of the equation. -23 + 23 + 9q = 22 + 23 Combine like terms: -23 + 23 = 0 0 + 9q = 22 + 23 9q = 22 + 23 Combine like terms: 22 + 23 = 45 9q = 45 Divide each side by '9'. q = 5 Simplifying q = 5
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