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Simplifying 3.5q + -4.6 + -2.6q = -0.1q + -2.2 Reorder the terms: -4.6 + 3.5q + -2.6q = -0.1q + -2.2 Combine like terms: 3.5q + -2.6q = 0.9q -4.6 + 0.9q = -0.1q + -2.2 Reorder the terms: -4.6 + 0.9q = -2.2 + -0.1q Solving -4.6 + 0.9q = -2.2 + -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. -4.6 + 0.9q + 0.1q = -2.2 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -4.6 + 1q = -2.2 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -4.6 + 1q = -2.2 + 0.0 -4.6 + 1q = -2.2 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -2.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -2.2 + 4.6 1q = -2.2 + 4.6 Combine like terms: -2.2 + 4.6 = 2.4 1q = 2.4 Divide each side by '1'. q = 2.4 Simplifying q = 2.4
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