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Simplifying 2.1q + -2.7 + -5.8q = -4.7q + -3.2 Reorder the terms: -2.7 + 2.1q + -5.8q = -4.7q + -3.2 Combine like terms: 2.1q + -5.8q = -3.7q -2.7 + -3.7q = -4.7q + -3.2 Reorder the terms: -2.7 + -3.7q = -3.2 + -4.7q Solving -2.7 + -3.7q = -3.2 + -4.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.7q' to each side of the equation. -2.7 + -3.7q + 4.7q = -3.2 + -4.7q + 4.7q Combine like terms: -3.7q + 4.7q = 1q -2.7 + 1q = -3.2 + -4.7q + 4.7q Combine like terms: -4.7q + 4.7q = 0.0 -2.7 + 1q = -3.2 + 0.0 -2.7 + 1q = -3.2 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1q = -3.2 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1q = -3.2 + 2.7 1q = -3.2 + 2.7 Combine like terms: -3.2 + 2.7 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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