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Simplifying 4.9q + -2.4 + -5.1q = -1.2q + -4.6 Reorder the terms: -2.4 + 4.9q + -5.1q = -1.2q + -4.6 Combine like terms: 4.9q + -5.1q = -0.2q -2.4 + -0.2q = -1.2q + -4.6 Reorder the terms: -2.4 + -0.2q = -4.6 + -1.2q Solving -2.4 + -0.2q = -4.6 + -1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.2q' to each side of the equation. -2.4 + -0.2q + 1.2q = -4.6 + -1.2q + 1.2q Combine like terms: -0.2q + 1.2q = 1q -2.4 + 1q = -4.6 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -2.4 + 1q = -4.6 + 0.0 -2.4 + 1q = -4.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1q = -4.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1q = -4.6 + 2.4 1q = -4.6 + 2.4 Combine like terms: -4.6 + 2.4 = -2.2 1q = -2.2 Divide each side by '1'. q = -2.2 Simplifying q = -2.2
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