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Simplifying 5.8q + -1.8 + -4.9q = 0.1q + -2.4 Reorder the terms: -1.8 + 5.8q + -4.9q = 0.1q + -2.4 Combine like terms: 5.8q + -4.9q = 0.9q -1.8 + 0.9q = 0.1q + -2.4 Reorder the terms: -1.8 + 0.9q = -2.4 + 0.1q Solving -1.8 + 0.9q = -2.4 + 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. -1.8 + 0.9q + -0.1q = -2.4 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -1.8 + 0.8q = -2.4 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -1.8 + 0.8q = -2.4 + 0.0 -1.8 + 0.8q = -2.4 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.8q = -2.4 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.8q = -2.4 + 1.8 0.8q = -2.4 + 1.8 Combine like terms: -2.4 + 1.8 = -0.6 0.8q = -0.6 Divide each side by '0.8'. q = -0.75 Simplifying q = -0.75
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