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Simplifying 3.8q + -2.4 + -4.5q = 1.7q + -2.9 Reorder the terms: -2.4 + 3.8q + -4.5q = 1.7q + -2.9 Combine like terms: 3.8q + -4.5q = -0.7q -2.4 + -0.7q = 1.7q + -2.9 Reorder the terms: -2.4 + -0.7q = -2.9 + 1.7q Solving -2.4 + -0.7q = -2.9 + 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. -2.4 + -0.7q + -1.7q = -2.9 + 1.7q + -1.7q Combine like terms: -0.7q + -1.7q = -2.4q -2.4 + -2.4q = -2.9 + 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -2.4 + -2.4q = -2.9 + 0.0 -2.4 + -2.4q = -2.9 Add '2.4' to each side of the equation. -2.4 + 2.4 + -2.4q = -2.9 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -2.4q = -2.9 + 2.4 -2.4q = -2.9 + 2.4 Combine like terms: -2.9 + 2.4 = -0.5 -2.4q = -0.5 Divide each side by '-2.4'. q = 0.2083333333 Simplifying q = 0.2083333333
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