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Simplifying 3.7q + -1.9 + -3.8q = -1.1q + -4.9 Reorder the terms: -1.9 + 3.7q + -3.8q = -1.1q + -4.9 Combine like terms: 3.7q + -3.8q = -0.1q -1.9 + -0.1q = -1.1q + -4.9 Reorder the terms: -1.9 + -0.1q = -4.9 + -1.1q Solving -1.9 + -0.1q = -4.9 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -1.9 + -0.1q + 1.1q = -4.9 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -1.9 + 1q = -4.9 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -1.9 + 1q = -4.9 + 0.0 -1.9 + 1q = -4.9 Add '1.9' to each side of the equation. -1.9 + 1.9 + 1q = -4.9 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 1q = -4.9 + 1.9 1q = -4.9 + 1.9 Combine like terms: -4.9 + 1.9 = -3 1q = -3 Divide each side by '1'. q = -3 Simplifying q = -3
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