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Simplifying 2.1q + -4.2 + -1.2 = -0.1q + -5.5 Reorder the terms: -4.2 + -1.2 + 2.1q = -0.1q + -5.5 Combine like terms: -4.2 + -1.2 = -5.4 -5.4 + 2.1q = -0.1q + -5.5 Reorder the terms: -5.4 + 2.1q = -5.5 + -0.1q Solving -5.4 + 2.1q = -5.5 + -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -5.4 + 2.1q + 0.1q = -5.5 + -0.1q + 0.1q Combine like terms: 2.1q + 0.1q = 2.2q -5.4 + 2.2q = -5.5 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -5.4 + 2.2q = -5.5 + 0.0 -5.4 + 2.2q = -5.5 Add '5.4' to each side of the equation. -5.4 + 5.4 + 2.2q = -5.5 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 2.2q = -5.5 + 5.4 2.2q = -5.5 + 5.4 Combine like terms: -5.5 + 5.4 = -0.1 2.2q = -0.1 Divide each side by '2.2'. q = -0.04545454545 Simplifying q = -0.04545454545
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