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Simplifying 4.6q + -4.3 + -4.4q = -0.8q + -4.8 Reorder the terms: -4.3 + 4.6q + -4.4q = -0.8q + -4.8 Combine like terms: 4.6q + -4.4q = 0.2q -4.3 + 0.2q = -0.8q + -4.8 Reorder the terms: -4.3 + 0.2q = -4.8 + -0.8q Solving -4.3 + 0.2q = -4.8 + -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. -4.3 + 0.2q + 0.8q = -4.8 + -0.8q + 0.8q Combine like terms: 0.2q + 0.8q = 1q -4.3 + 1q = -4.8 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -4.3 + 1q = -4.8 + 0.0 -4.3 + 1q = -4.8 Add '4.3' to each side of the equation. -4.3 + 4.3 + 1q = -4.8 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 1q = -4.8 + 4.3 1q = -4.8 + 4.3 Combine like terms: -4.8 + 4.3 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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