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Simplifying 1.2q + -1.5 + -0.6q = -0.4q + -3.8 Reorder the terms: -1.5 + 1.2q + -0.6q = -0.4q + -3.8 Combine like terms: 1.2q + -0.6q = 0.6q -1.5 + 0.6q = -0.4q + -3.8 Reorder the terms: -1.5 + 0.6q = -3.8 + -0.4q Solving -1.5 + 0.6q = -3.8 + -0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.4q' to each side of the equation. -1.5 + 0.6q + 0.4q = -3.8 + -0.4q + 0.4q Combine like terms: 0.6q + 0.4q = 1q -1.5 + 1q = -3.8 + -0.4q + 0.4q Combine like terms: -0.4q + 0.4q = 0.0 -1.5 + 1q = -3.8 + 0.0 -1.5 + 1q = -3.8 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1q = -3.8 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1q = -3.8 + 1.5 1q = -3.8 + 1.5 Combine like terms: -3.8 + 1.5 = -2.3 1q = -2.3 Divide each side by '1'. q = -2.3 Simplifying q = -2.3
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