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Simplifying 1.9q + -5.3 + -2.2q = 1.3q + -1.1 Reorder the terms: -5.3 + 1.9q + -2.2q = 1.3q + -1.1 Combine like terms: 1.9q + -2.2q = -0.3q -5.3 + -0.3q = 1.3q + -1.1 Reorder the terms: -5.3 + -0.3q = -1.1 + 1.3q Solving -5.3 + -0.3q = -1.1 + 1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.3q' to each side of the equation. -5.3 + -0.3q + -1.3q = -1.1 + 1.3q + -1.3q Combine like terms: -0.3q + -1.3q = -1.6q -5.3 + -1.6q = -1.1 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -5.3 + -1.6q = -1.1 + 0.0 -5.3 + -1.6q = -1.1 Add '5.3' to each side of the equation. -5.3 + 5.3 + -1.6q = -1.1 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + -1.6q = -1.1 + 5.3 -1.6q = -1.1 + 5.3 Combine like terms: -1.1 + 5.3 = 4.2 -1.6q = 4.2 Divide each side by '-1.6'. q = -2.625 Simplifying q = -2.625
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