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Simplifying 1.3q + -3.1 + -4.9q = -4.6q + -3.1 Reorder the terms: -3.1 + 1.3q + -4.9q = -4.6q + -3.1 Combine like terms: 1.3q + -4.9q = -3.6q -3.1 + -3.6q = -4.6q + -3.1 Reorder the terms: -3.1 + -3.6q = -3.1 + -4.6q Add '3.1' to each side of the equation. -3.1 + 3.1 + -3.6q = -3.1 + 3.1 + -4.6q Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -3.6q = -3.1 + 3.1 + -4.6q -3.6q = -3.1 + 3.1 + -4.6q Combine like terms: -3.1 + 3.1 = 0.0 -3.6q = 0.0 + -4.6q -3.6q = -4.6q Solving -3.6q = -4.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.6q' to each side of the equation. -3.6q + 4.6q = -4.6q + 4.6q Combine like terms: -3.6q + 4.6q = 1q 1q = -4.6q + 4.6q Combine like terms: -4.6q + 4.6q = 0.0 1q = 0.0 Divide each side by '1'. q = 0.0 Simplifying q = 0.0
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