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Simplifying 3.1q + -5.5 + -4.7q = -2.6q + -1.9 Reorder the terms: -5.5 + 3.1q + -4.7q = -2.6q + -1.9 Combine like terms: 3.1q + -4.7q = -1.6q -5.5 + -1.6q = -2.6q + -1.9 Reorder the terms: -5.5 + -1.6q = -1.9 + -2.6q Solving -5.5 + -1.6q = -1.9 + -2.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.6q' to each side of the equation. -5.5 + -1.6q + 2.6q = -1.9 + -2.6q + 2.6q Combine like terms: -1.6q + 2.6q = 1q -5.5 + 1q = -1.9 + -2.6q + 2.6q Combine like terms: -2.6q + 2.6q = 0.0 -5.5 + 1q = -1.9 + 0.0 -5.5 + 1q = -1.9 Add '5.5' to each side of the equation. -5.5 + 5.5 + 1q = -1.9 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1q = -1.9 + 5.5 1q = -1.9 + 5.5 Combine like terms: -1.9 + 5.5 = 3.6 1q = 3.6 Divide each side by '1'. q = 3.6 Simplifying q = 3.6
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