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Simplifying 4.7q + -3.3 + -5.8q = -2.1q + -3.8 Reorder the terms: -3.3 + 4.7q + -5.8q = -2.1q + -3.8 Combine like terms: 4.7q + -5.8q = -1.1q -3.3 + -1.1q = -2.1q + -3.8 Reorder the terms: -3.3 + -1.1q = -3.8 + -2.1q Solving -3.3 + -1.1q = -3.8 + -2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.1q' to each side of the equation. -3.3 + -1.1q + 2.1q = -3.8 + -2.1q + 2.1q Combine like terms: -1.1q + 2.1q = 1q -3.3 + 1q = -3.8 + -2.1q + 2.1q Combine like terms: -2.1q + 2.1q = 0.0 -3.3 + 1q = -3.8 + 0.0 -3.3 + 1q = -3.8 Add '3.3' to each side of the equation. -3.3 + 3.3 + 1q = -3.8 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 1q = -3.8 + 3.3 1q = -3.8 + 3.3 Combine like terms: -3.8 + 3.3 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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