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Simplifying 0.4q + -0.03 + 0.2 = 0.7 + q Reorder the terms: -0.03 + 0.2 + 0.4q = 0.7 + q Combine like terms: -0.03 + 0.2 = 0.17 0.17 + 0.4q = 0.7 + q Solving 0.17 + 0.4q = 0.7 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 0.17 + 0.4q + -1q = 0.7 + q + -1q Combine like terms: 0.4q + -1q = -0.6q 0.17 + -0.6q = 0.7 + q + -1q Combine like terms: q + -1q = 0 0.17 + -0.6q = 0.7 + 0 0.17 + -0.6q = 0.7 Add '-0.17' to each side of the equation. 0.17 + -0.17 + -0.6q = 0.7 + -0.17 Combine like terms: 0.17 + -0.17 = 0.00 0.00 + -0.6q = 0.7 + -0.17 -0.6q = 0.7 + -0.17 Combine like terms: 0.7 + -0.17 = 0.53 -0.6q = 0.53 Divide each side by '-0.6'. q = -0.8833333333 Simplifying q = -0.8833333333
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