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Simplifying 2.2q + -1.4 + -2.1q = 0.9q + -5.1 Reorder the terms: -1.4 + 2.2q + -2.1q = 0.9q + -5.1 Combine like terms: 2.2q + -2.1q = 0.1q -1.4 + 0.1q = 0.9q + -5.1 Reorder the terms: -1.4 + 0.1q = -5.1 + 0.9q Solving -1.4 + 0.1q = -5.1 + 0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.9q' to each side of the equation. -1.4 + 0.1q + -0.9q = -5.1 + 0.9q + -0.9q Combine like terms: 0.1q + -0.9q = -0.8q -1.4 + -0.8q = -5.1 + 0.9q + -0.9q Combine like terms: 0.9q + -0.9q = 0.0 -1.4 + -0.8q = -5.1 + 0.0 -1.4 + -0.8q = -5.1 Add '1.4' to each side of the equation. -1.4 + 1.4 + -0.8q = -5.1 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -0.8q = -5.1 + 1.4 -0.8q = -5.1 + 1.4 Combine like terms: -5.1 + 1.4 = -3.7 -0.8q = -3.7 Divide each side by '-0.8'. q = 4.625 Simplifying q = 4.625
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