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Simplifying 5.3q + -5.4 + -5.1q = -0.8q + -3.3 Reorder the terms: -5.4 + 5.3q + -5.1q = -0.8q + -3.3 Combine like terms: 5.3q + -5.1q = 0.2q -5.4 + 0.2q = -0.8q + -3.3 Reorder the terms: -5.4 + 0.2q = -3.3 + -0.8q Solving -5.4 + 0.2q = -3.3 + -0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.8q' to each side of the equation. -5.4 + 0.2q + 0.8q = -3.3 + -0.8q + 0.8q Combine like terms: 0.2q + 0.8q = 1q -5.4 + 1q = -3.3 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -5.4 + 1q = -3.3 + 0.0 -5.4 + 1q = -3.3 Add '5.4' to each side of the equation. -5.4 + 5.4 + 1q = -3.3 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 1q = -3.3 + 5.4 1q = -3.3 + 5.4 Combine like terms: -3.3 + 5.4 = 2.1 1q = 2.1 Divide each side by '1'. q = 2.1 Simplifying q = 2.1
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