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Simplifying 1.2q + -4.1 + -3.8q = -1.6q + -4.1q Reorder the terms: -4.1 + 1.2q + -3.8q = -1.6q + -4.1q Combine like terms: 1.2q + -3.8q = -2.6q -4.1 + -2.6q = -1.6q + -4.1q Combine like terms: -1.6q + -4.1q = -5.7q -4.1 + -2.6q = -5.7q Solving -4.1 + -2.6q = -5.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.7q' to each side of the equation. -4.1 + -2.6q + 5.7q = -5.7q + 5.7q Combine like terms: -2.6q + 5.7q = 3.1q -4.1 + 3.1q = -5.7q + 5.7q Combine like terms: -5.7q + 5.7q = 0.0 -4.1 + 3.1q = 0.0 Add '4.1' to each side of the equation. -4.1 + 4.1 + 3.1q = 0.0 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 3.1q = 0.0 + 4.1 3.1q = 0.0 + 4.1 Combine like terms: 0.0 + 4.1 = 4.1 3.1q = 4.1 Divide each side by '3.1'. q = 1.322580645 Simplifying q = 1.322580645
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