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Simplifying 13q + 12 + -12q + 5r + 10 = 0 Reorder the terms: 12 + 10 + 13q + -12q + 5r = 0 Combine like terms: 12 + 10 = 22 22 + 13q + -12q + 5r = 0 Combine like terms: 13q + -12q = 1q 22 + 1q + 5r = 0 Solving 22 + 1q + 5r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 1q + -22 + 5r = 0 + -22 Reorder the terms: 22 + -22 + 1q + 5r = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1q + 5r = 0 + -22 1q + 5r = 0 + -22 Combine like terms: 0 + -22 = -22 1q + 5r = -22 Add '-5r' to each side of the equation. 1q + 5r + -5r = -22 + -5r Combine like terms: 5r + -5r = 0 1q + 0 = -22 + -5r 1q = -22 + -5r Divide each side by '1'. q = -22 + -5r Simplifying q = -22 + -5r
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