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Simplifying 2.8q + -4.1 + -5.9q = 4.1q + -3.4 Reorder the terms: -4.1 + 2.8q + -5.9q = 4.1q + -3.4 Combine like terms: 2.8q + -5.9q = -3.1q -4.1 + -3.1q = 4.1q + -3.4 Reorder the terms: -4.1 + -3.1q = -3.4 + 4.1q Solving -4.1 + -3.1q = -3.4 + 4.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.1q' to each side of the equation. -4.1 + -3.1q + -4.1q = -3.4 + 4.1q + -4.1q Combine like terms: -3.1q + -4.1q = -7.2q -4.1 + -7.2q = -3.4 + 4.1q + -4.1q Combine like terms: 4.1q + -4.1q = 0.0 -4.1 + -7.2q = -3.4 + 0.0 -4.1 + -7.2q = -3.4 Add '4.1' to each side of the equation. -4.1 + 4.1 + -7.2q = -3.4 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -7.2q = -3.4 + 4.1 -7.2q = -3.4 + 4.1 Combine like terms: -3.4 + 4.1 = 0.7 -7.2q = 0.7 Divide each side by '-7.2'. q = -0.09722222222 Simplifying q = -0.09722222222
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