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Simplifying 4.1q + -5.1 + -3.4q = -0.3q + -5.7 Reorder the terms: -5.1 + 4.1q + -3.4q = -0.3q + -5.7 Combine like terms: 4.1q + -3.4q = 0.7q -5.1 + 0.7q = -0.3q + -5.7 Reorder the terms: -5.1 + 0.7q = -5.7 + -0.3q Solving -5.1 + 0.7q = -5.7 + -0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.3q' to each side of the equation. -5.1 + 0.7q + 0.3q = -5.7 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -5.1 + 1q = -5.7 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -5.1 + 1q = -5.7 + 0.0 -5.1 + 1q = -5.7 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -5.7 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -5.7 + 5.1 1q = -5.7 + 5.1 Combine like terms: -5.7 + 5.1 = -0.6 1q = -0.6 Divide each side by '1'. q = -0.6 Simplifying q = -0.6
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