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Simplifying 0.13q + 6 + -0.6q = 0.33q + -0.4 Reorder the terms: 6 + 0.13q + -0.6q = 0.33q + -0.4 Combine like terms: 0.13q + -0.6q = -0.47q 6 + -0.47q = 0.33q + -0.4 Reorder the terms: 6 + -0.47q = -0.4 + 0.33q Solving 6 + -0.47q = -0.4 + 0.33q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.33q' to each side of the equation. 6 + -0.47q + -0.33q = -0.4 + 0.33q + -0.33q Combine like terms: -0.47q + -0.33q = -0.8q 6 + -0.8q = -0.4 + 0.33q + -0.33q Combine like terms: 0.33q + -0.33q = 0.00 6 + -0.8q = -0.4 + 0.00 6 + -0.8q = -0.4 Add '-6' to each side of the equation. 6 + -6 + -0.8q = -0.4 + -6 Combine like terms: 6 + -6 = 0 0 + -0.8q = -0.4 + -6 -0.8q = -0.4 + -6 Combine like terms: -0.4 + -6 = -6.4 -0.8q = -6.4 Divide each side by '-0.8'. q = 8 Simplifying q = 8
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