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Simplifying 3.8 + 12.4q = 5.6q + 18.36 + -3.62 Reorder the terms: 3.8 + 12.4q = 18.36 + -3.62 + 5.6q Combine like terms: 18.36 + -3.62 = 14.74 3.8 + 12.4q = 14.74 + 5.6q Solving 3.8 + 12.4q = 14.74 + 5.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.6q' to each side of the equation. 3.8 + 12.4q + -5.6q = 14.74 + 5.6q + -5.6q Combine like terms: 12.4q + -5.6q = 6.8q 3.8 + 6.8q = 14.74 + 5.6q + -5.6q Combine like terms: 5.6q + -5.6q = 0.0 3.8 + 6.8q = 14.74 + 0.0 3.8 + 6.8q = 14.74 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 6.8q = 14.74 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 6.8q = 14.74 + -3.8 6.8q = 14.74 + -3.8 Combine like terms: 14.74 + -3.8 = 10.94 6.8q = 10.94 Divide each side by '6.8'. q = 1.608823529 Simplifying q = 1.608823529
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