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Simplifying 3.6q + -1.8 + -4.9q = -2.3q + -3.8 Reorder the terms: -1.8 + 3.6q + -4.9q = -2.3q + -3.8 Combine like terms: 3.6q + -4.9q = -1.3q -1.8 + -1.3q = -2.3q + -3.8 Reorder the terms: -1.8 + -1.3q = -3.8 + -2.3q Solving -1.8 + -1.3q = -3.8 + -2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.3q' to each side of the equation. -1.8 + -1.3q + 2.3q = -3.8 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -1.8 + 1q = -3.8 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -1.8 + 1q = -3.8 + 0.0 -1.8 + 1q = -3.8 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1q = -3.8 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1q = -3.8 + 1.8 1q = -3.8 + 1.8 Combine like terms: -3.8 + 1.8 = -2 1q = -2 Divide each side by '1'. q = -2 Simplifying q = -2
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