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Simplifying 1.3q + -3.8 + -5.6q = -5.3q + -4.3 Reorder the terms: -3.8 + 1.3q + -5.6q = -5.3q + -4.3 Combine like terms: 1.3q + -5.6q = -4.3q -3.8 + -4.3q = -5.3q + -4.3 Reorder the terms: -3.8 + -4.3q = -4.3 + -5.3q Solving -3.8 + -4.3q = -4.3 + -5.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.3q' to each side of the equation. -3.8 + -4.3q + 5.3q = -4.3 + -5.3q + 5.3q Combine like terms: -4.3q + 5.3q = 1q -3.8 + 1q = -4.3 + -5.3q + 5.3q Combine like terms: -5.3q + 5.3q = 0.0 -3.8 + 1q = -4.3 + 0.0 -3.8 + 1q = -4.3 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -4.3 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -4.3 + 3.8 1q = -4.3 + 3.8 Combine like terms: -4.3 + 3.8 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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