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Simplifying 3.3q + -5.3 + -3.6q = -1.3q + -5.8 Reorder the terms: -5.3 + 3.3q + -3.6q = -1.3q + -5.8 Combine like terms: 3.3q + -3.6q = -0.3q -5.3 + -0.3q = -1.3q + -5.8 Reorder the terms: -5.3 + -0.3q = -5.8 + -1.3q Solving -5.3 + -0.3q = -5.8 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -5.3 + -0.3q + 1.3q = -5.8 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -5.3 + 1q = -5.8 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -5.3 + 1q = -5.8 + 0.0 -5.3 + 1q = -5.8 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -5.8 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -5.8 + 5.3 1q = -5.8 + 5.3 Combine like terms: -5.8 + 5.3 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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