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Simplifying 5.1q + -5.3 + -4.7q = -0.6q + -2.2 Reorder the terms: -5.3 + 5.1q + -4.7q = -0.6q + -2.2 Combine like terms: 5.1q + -4.7q = 0.4q -5.3 + 0.4q = -0.6q + -2.2 Reorder the terms: -5.3 + 0.4q = -2.2 + -0.6q Solving -5.3 + 0.4q = -2.2 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -5.3 + 0.4q + 0.6q = -2.2 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -5.3 + 1q = -2.2 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -5.3 + 1q = -2.2 + 0.0 -5.3 + 1q = -2.2 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -2.2 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -2.2 + 5.3 1q = -2.2 + 5.3 Combine like terms: -2.2 + 5.3 = 3.1 1q = 3.1 Divide each side by '1'. q = 3.1 Simplifying q = 3.1
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