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Simplifying 2.8q + -2.1 + -4.5q = 2.7q + -3.2 Reorder the terms: -2.1 + 2.8q + -4.5q = 2.7q + -3.2 Combine like terms: 2.8q + -4.5q = -1.7q -2.1 + -1.7q = 2.7q + -3.2 Reorder the terms: -2.1 + -1.7q = -3.2 + 2.7q Solving -2.1 + -1.7q = -3.2 + 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. -2.1 + -1.7q + -2.7q = -3.2 + 2.7q + -2.7q Combine like terms: -1.7q + -2.7q = -4.4q -2.1 + -4.4q = -3.2 + 2.7q + -2.7q Combine like terms: 2.7q + -2.7q = 0.0 -2.1 + -4.4q = -3.2 + 0.0 -2.1 + -4.4q = -3.2 Add '2.1' to each side of the equation. -2.1 + 2.1 + -4.4q = -3.2 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + -4.4q = -3.2 + 2.1 -4.4q = -3.2 + 2.1 Combine like terms: -3.2 + 2.1 = -1.1 -4.4q = -1.1 Divide each side by '-4.4'. q = 0.25 Simplifying q = 0.25
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