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Simplifying 4.9q + -5.9 + -5.2q = -1.3q + -5.4 Reorder the terms: -5.9 + 4.9q + -5.2q = -1.3q + -5.4 Combine like terms: 4.9q + -5.2q = -0.3q -5.9 + -0.3q = -1.3q + -5.4 Reorder the terms: -5.9 + -0.3q = -5.4 + -1.3q Solving -5.9 + -0.3q = -5.4 + -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. -5.9 + -0.3q + 1.3q = -5.4 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -5.9 + 1q = -5.4 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -5.9 + 1q = -5.4 + 0.0 -5.9 + 1q = -5.4 Add '5.9' to each side of the equation. -5.9 + 5.9 + 1q = -5.4 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + 1q = -5.4 + 5.9 1q = -5.4 + 5.9 Combine like terms: -5.4 + 5.9 = 0.5 1q = 0.5 Divide each side by '1'. q = 0.5 Simplifying q = 0.5
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