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Simplifying 4.8q + -4.1 + -4.7q = -0.9q + -1.3 Reorder the terms: -4.1 + 4.8q + -4.7q = -0.9q + -1.3 Combine like terms: 4.8q + -4.7q = 0.1q -4.1 + 0.1q = -0.9q + -1.3 Reorder the terms: -4.1 + 0.1q = -1.3 + -0.9q Solving -4.1 + 0.1q = -1.3 + -0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.9q' to each side of the equation. -4.1 + 0.1q + 0.9q = -1.3 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -4.1 + 1q = -1.3 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -4.1 + 1q = -1.3 + 0.0 -4.1 + 1q = -1.3 Add '4.1' to each side of the equation. -4.1 + 4.1 + 1q = -1.3 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 1q = -1.3 + 4.1 1q = -1.3 + 4.1 Combine like terms: -1.3 + 4.1 = 2.8 1q = 2.8 Divide each side by '1'. q = 2.8 Simplifying q = 2.8
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