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Simplifying 4.4q + -5.3 + -4.2 = -0.8q + -4.6 Reorder the terms: -5.3 + -4.2 + 4.4q = -0.8q + -4.6 Combine like terms: -5.3 + -4.2 = -9.5 -9.5 + 4.4q = -0.8q + -4.6 Reorder the terms: -9.5 + 4.4q = -4.6 + -0.8q Solving -9.5 + 4.4q = -4.6 + -0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.8q' to each side of the equation. -9.5 + 4.4q + 0.8q = -4.6 + -0.8q + 0.8q Combine like terms: 4.4q + 0.8q = 5.2q -9.5 + 5.2q = -4.6 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -9.5 + 5.2q = -4.6 + 0.0 -9.5 + 5.2q = -4.6 Add '9.5' to each side of the equation. -9.5 + 9.5 + 5.2q = -4.6 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 5.2q = -4.6 + 9.5 5.2q = -4.6 + 9.5 Combine like terms: -4.6 + 9.5 = 4.9 5.2q = 4.9 Divide each side by '5.2'. q = 0.9423076923 Simplifying q = 0.9423076923
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