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Simplifying 5.1q + -2.8 + -4.4q = -0.3q + -5.5 Reorder the terms: -2.8 + 5.1q + -4.4q = -0.3q + -5.5 Combine like terms: 5.1q + -4.4q = 0.7q -2.8 + 0.7q = -0.3q + -5.5 Reorder the terms: -2.8 + 0.7q = -5.5 + -0.3q Solving -2.8 + 0.7q = -5.5 + -0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.3q' to each side of the equation. -2.8 + 0.7q + 0.3q = -5.5 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -2.8 + 1q = -5.5 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -2.8 + 1q = -5.5 + 0.0 -2.8 + 1q = -5.5 Add '2.8' to each side of the equation. -2.8 + 2.8 + 1q = -5.5 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 1q = -5.5 + 2.8 1q = -5.5 + 2.8 Combine like terms: -5.5 + 2.8 = -2.7 1q = -2.7 Divide each side by '1'. q = -2.7 Simplifying q = -2.7
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