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Simplifying 1.1q + -5.3 + -4.2q = -4.1q + -3.3 Reorder the terms: -5.3 + 1.1q + -4.2q = -4.1q + -3.3 Combine like terms: 1.1q + -4.2q = -3.1q -5.3 + -3.1q = -4.1q + -3.3 Reorder the terms: -5.3 + -3.1q = -3.3 + -4.1q Solving -5.3 + -3.1q = -3.3 + -4.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.1q' to each side of the equation. -5.3 + -3.1q + 4.1q = -3.3 + -4.1q + 4.1q Combine like terms: -3.1q + 4.1q = 1q -5.3 + 1q = -3.3 + -4.1q + 4.1q Combine like terms: -4.1q + 4.1q = 0.0 -5.3 + 1q = -3.3 + 0.0 -5.3 + 1q = -3.3 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -3.3 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -3.3 + 5.3 1q = -3.3 + 5.3 Combine like terms: -3.3 + 5.3 = 2 1q = 2 Divide each side by '1'. q = 2 Simplifying q = 2
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