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Simplifying 2.7q + -5.2 + -4.8q = -3.1q + -5.1 Reorder the terms: -5.2 + 2.7q + -4.8q = -3.1q + -5.1 Combine like terms: 2.7q + -4.8q = -2.1q -5.2 + -2.1q = -3.1q + -5.1 Reorder the terms: -5.2 + -2.1q = -5.1 + -3.1q Solving -5.2 + -2.1q = -5.1 + -3.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.1q' to each side of the equation. -5.2 + -2.1q + 3.1q = -5.1 + -3.1q + 3.1q Combine like terms: -2.1q + 3.1q = 1q -5.2 + 1q = -5.1 + -3.1q + 3.1q Combine like terms: -3.1q + 3.1q = 0.0 -5.2 + 1q = -5.1 + 0.0 -5.2 + 1q = -5.1 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -5.1 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -5.1 + 5.2 1q = -5.1 + 5.2 Combine like terms: -5.1 + 5.2 = 0.1 1q = 0.1 Divide each side by '1'. q = 0.1 Simplifying q = 0.1
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