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Simplifying 2.5q + -1.2 + -3.2q = 1.7q + -2.8 Reorder the terms: -1.2 + 2.5q + -3.2q = 1.7q + -2.8 Combine like terms: 2.5q + -3.2q = -0.7q -1.2 + -0.7q = 1.7q + -2.8 Reorder the terms: -1.2 + -0.7q = -2.8 + 1.7q Solving -1.2 + -0.7q = -2.8 + 1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.7q' to each side of the equation. -1.2 + -0.7q + -1.7q = -2.8 + 1.7q + -1.7q Combine like terms: -0.7q + -1.7q = -2.4q -1.2 + -2.4q = -2.8 + 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -1.2 + -2.4q = -2.8 + 0.0 -1.2 + -2.4q = -2.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + -2.4q = -2.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -2.4q = -2.8 + 1.2 -2.4q = -2.8 + 1.2 Combine like terms: -2.8 + 1.2 = -1.6 -2.4q = -1.6 Divide each side by '-2.4'. q = 0.6666666667 Simplifying q = 0.6666666667
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