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Simplifying 4.1q + -5.5 + -5.4q = 2.3q + -4.9 Reorder the terms: -5.5 + 4.1q + -5.4q = 2.3q + -4.9 Combine like terms: 4.1q + -5.4q = -1.3q -5.5 + -1.3q = 2.3q + -4.9 Reorder the terms: -5.5 + -1.3q = -4.9 + 2.3q Solving -5.5 + -1.3q = -4.9 + 2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.3q' to each side of the equation. -5.5 + -1.3q + -2.3q = -4.9 + 2.3q + -2.3q Combine like terms: -1.3q + -2.3q = -3.6q -5.5 + -3.6q = -4.9 + 2.3q + -2.3q Combine like terms: 2.3q + -2.3q = 0.0 -5.5 + -3.6q = -4.9 + 0.0 -5.5 + -3.6q = -4.9 Add '5.5' to each side of the equation. -5.5 + 5.5 + -3.6q = -4.9 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -3.6q = -4.9 + 5.5 -3.6q = -4.9 + 5.5 Combine like terms: -4.9 + 5.5 = 0.6 -3.6q = 0.6 Divide each side by '-3.6'. q = -0.1666666667 Simplifying q = -0.1666666667
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