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Simplifying 1.1q + -2.7 + -4.2q = -4.1q + -2.2 Reorder the terms: -2.7 + 1.1q + -4.2q = -4.1q + -2.2 Combine like terms: 1.1q + -4.2q = -3.1q -2.7 + -3.1q = -4.1q + -2.2 Reorder the terms: -2.7 + -3.1q = -2.2 + -4.1q Solving -2.7 + -3.1q = -2.2 + -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. -2.7 + -3.1q + 4.1q = -2.2 + -4.1q + 4.1q Combine like terms: -3.1q + 4.1q = 1q -2.7 + 1q = -2.2 + -4.1q + 4.1q Combine like terms: -4.1q + 4.1q = 0.0 -2.7 + 1q = -2.2 + 0.0 -2.7 + 1q = -2.2 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1q = -2.2 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1q = -2.2 + 2.7 1q = -2.2 + 2.7 Combine like terms: -2.2 + 2.7 = 0.5 1q = 0.5 Divide each side by '1'. q = 0.5 Simplifying q = 0.5
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