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Simplifying 1.2q + -4.6 + -5.1q = -4.9q + -1.8 Reorder the terms: -4.6 + 1.2q + -5.1q = -4.9q + -1.8 Combine like terms: 1.2q + -5.1q = -3.9q -4.6 + -3.9q = -4.9q + -1.8 Reorder the terms: -4.6 + -3.9q = -1.8 + -4.9q Solving -4.6 + -3.9q = -1.8 + -4.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.9q' to each side of the equation. -4.6 + -3.9q + 4.9q = -1.8 + -4.9q + 4.9q Combine like terms: -3.9q + 4.9q = 1q -4.6 + 1q = -1.8 + -4.9q + 4.9q Combine like terms: -4.9q + 4.9q = 0.0 -4.6 + 1q = -1.8 + 0.0 -4.6 + 1q = -1.8 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -1.8 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -1.8 + 4.6 1q = -1.8 + 4.6 Combine like terms: -1.8 + 4.6 = 2.8 1q = 2.8 Divide each side by '1'. q = 2.8 Simplifying q = 2.8
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