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Simplifying 2.7q + -5.1 + -4.4q = -2.7q + -1.6 Reorder the terms: -5.1 + 2.7q + -4.4q = -2.7q + -1.6 Combine like terms: 2.7q + -4.4q = -1.7q -5.1 + -1.7q = -2.7q + -1.6 Reorder the terms: -5.1 + -1.7q = -1.6 + -2.7q Solving -5.1 + -1.7q = -1.6 + -2.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.7q' to each side of the equation. -5.1 + -1.7q + 2.7q = -1.6 + -2.7q + 2.7q Combine like terms: -1.7q + 2.7q = 1q -5.1 + 1q = -1.6 + -2.7q + 2.7q Combine like terms: -2.7q + 2.7q = 0.0 -5.1 + 1q = -1.6 + 0.0 -5.1 + 1q = -1.6 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -1.6 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -1.6 + 5.1 1q = -1.6 + 5.1 Combine like terms: -1.6 + 5.1 = 3.5 1q = 3.5 Divide each side by '1'. q = 3.5 Simplifying q = 3.5
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