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Simplifying 4.9q + -2.6 + -5.3q = -1.4q + -5.8 Reorder the terms: -2.6 + 4.9q + -5.3q = -1.4q + -5.8 Combine like terms: 4.9q + -5.3q = -0.4q -2.6 + -0.4q = -1.4q + -5.8 Reorder the terms: -2.6 + -0.4q = -5.8 + -1.4q Solving -2.6 + -0.4q = -5.8 + -1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4q' to each side of the equation. -2.6 + -0.4q + 1.4q = -5.8 + -1.4q + 1.4q Combine like terms: -0.4q + 1.4q = 1q -2.6 + 1q = -5.8 + -1.4q + 1.4q Combine like terms: -1.4q + 1.4q = 0.0 -2.6 + 1q = -5.8 + 0.0 -2.6 + 1q = -5.8 Add '2.6' to each side of the equation. -2.6 + 2.6 + 1q = -5.8 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 1q = -5.8 + 2.6 1q = -5.8 + 2.6 Combine like terms: -5.8 + 2.6 = -3.2 1q = -3.2 Divide each side by '1'. q = -3.2 Simplifying q = -3.2
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