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Simplifying 4.6q + -3.9 + -4.9q = -1.3q + -1.6 Reorder the terms: -3.9 + 4.6q + -4.9q = -1.3q + -1.6 Combine like terms: 4.6q + -4.9q = -0.3q -3.9 + -0.3q = -1.3q + -1.6 Reorder the terms: -3.9 + -0.3q = -1.6 + -1.3q Solving -3.9 + -0.3q = -1.6 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -3.9 + -0.3q + 1.3q = -1.6 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -3.9 + 1q = -1.6 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -3.9 + 1q = -1.6 + 0.0 -3.9 + 1q = -1.6 Add '3.9' to each side of the equation. -3.9 + 3.9 + 1q = -1.6 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 1q = -1.6 + 3.9 1q = -1.6 + 3.9 Combine like terms: -1.6 + 3.9 = 2.3 1q = 2.3 Divide each side by '1'. q = 2.3 Simplifying q = 2.3
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