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Simplifying 5.8q + -1.5 + -4.9q = -0.1q + -5.7 Reorder the terms: -1.5 + 5.8q + -4.9q = -0.1q + -5.7 Combine like terms: 5.8q + -4.9q = 0.9q -1.5 + 0.9q = -0.1q + -5.7 Reorder the terms: -1.5 + 0.9q = -5.7 + -0.1q Solving -1.5 + 0.9q = -5.7 + -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -1.5 + 0.9q + 0.1q = -5.7 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -1.5 + 1q = -5.7 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -1.5 + 1q = -5.7 + 0.0 -1.5 + 1q = -5.7 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1q = -5.7 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1q = -5.7 + 1.5 1q = -5.7 + 1.5 Combine like terms: -5.7 + 1.5 = -4.2 1q = -4.2 Divide each side by '1'. q = -4.2 Simplifying q = -4.2
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