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Simplifying 1.2q + -1.4 + -0.5q = -0.3q + -5.2 Reorder the terms: -1.4 + 1.2q + -0.5q = -0.3q + -5.2 Combine like terms: 1.2q + -0.5q = 0.7q -1.4 + 0.7q = -0.3q + -5.2 Reorder the terms: -1.4 + 0.7q = -5.2 + -0.3q Solving -1.4 + 0.7q = -5.2 + -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. -1.4 + 0.7q + 0.3q = -5.2 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -1.4 + 1q = -5.2 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -1.4 + 1q = -5.2 + 0.0 -1.4 + 1q = -5.2 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1q = -5.2 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1q = -5.2 + 1.4 1q = -5.2 + 1.4 Combine like terms: -5.2 + 1.4 = -3.8 1q = -3.8 Divide each side by '1'. q = -3.8 Simplifying q = -3.8
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