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Simplifying 13q + 12r + -12q + -5r + 10 = 0 Reorder the terms: 10 + 13q + -12q + 12r + -5r = 0 Combine like terms: 13q + -12q = 1q 10 + 1q + 12r + -5r = 0 Combine like terms: 12r + -5r = 7r 10 + 1q + 7r = 0 Solving 10 + 1q + 7r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 1q + -10 + 7r = 0 + -10 Reorder the terms: 10 + -10 + 1q + 7r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1q + 7r = 0 + -10 1q + 7r = 0 + -10 Combine like terms: 0 + -10 = -10 1q + 7r = -10 Add '-7r' to each side of the equation. 1q + 7r + -7r = -10 + -7r Combine like terms: 7r + -7r = 0 1q + 0 = -10 + -7r 1q = -10 + -7r Divide each side by '1'. q = -10 + -7r Simplifying q = -10 + -7r
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