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Simplifying 4.6q + -1.9 + -5.7q = -2.1q + -1.2 Reorder the terms: -1.9 + 4.6q + -5.7q = -2.1q + -1.2 Combine like terms: 4.6q + -5.7q = -1.1q -1.9 + -1.1q = -2.1q + -1.2 Reorder the terms: -1.9 + -1.1q = -1.2 + -2.1q Solving -1.9 + -1.1q = -1.2 + -2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.1q' to each side of the equation. -1.9 + -1.1q + 2.1q = -1.2 + -2.1q + 2.1q Combine like terms: -1.1q + 2.1q = 1q -1.9 + 1q = -1.2 + -2.1q + 2.1q Combine like terms: -2.1q + 2.1q = 0.0 -1.9 + 1q = -1.2 + 0.0 -1.9 + 1q = -1.2 Add '1.9' to each side of the equation. -1.9 + 1.9 + 1q = -1.2 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 1q = -1.2 + 1.9 1q = -1.2 + 1.9 Combine like terms: -1.2 + 1.9 = 0.7 1q = 0.7 Divide each side by '1'. q = 0.7 Simplifying q = 0.7
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