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Simplifying 1.1q + -4.3 + -3.9q = 3.8q + -5.4 Reorder the terms: -4.3 + 1.1q + -3.9q = 3.8q + -5.4 Combine like terms: 1.1q + -3.9q = -2.8q -4.3 + -2.8q = 3.8q + -5.4 Reorder the terms: -4.3 + -2.8q = -5.4 + 3.8q Solving -4.3 + -2.8q = -5.4 + 3.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.8q' to each side of the equation. -4.3 + -2.8q + -3.8q = -5.4 + 3.8q + -3.8q Combine like terms: -2.8q + -3.8q = -6.6q -4.3 + -6.6q = -5.4 + 3.8q + -3.8q Combine like terms: 3.8q + -3.8q = 0.0 -4.3 + -6.6q = -5.4 + 0.0 -4.3 + -6.6q = -5.4 Add '4.3' to each side of the equation. -4.3 + 4.3 + -6.6q = -5.4 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -6.6q = -5.4 + 4.3 -6.6q = -5.4 + 4.3 Combine like terms: -5.4 + 4.3 = -1.1 -6.6q = -1.1 Divide each side by '-6.6'. q = 0.1666666667 Simplifying q = 0.1666666667
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