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Simplifying 0.5q + -5.1 + -5.4q = 0.5q + -1.5 Reorder the terms: -5.1 + 0.5q + -5.4q = 0.5q + -1.5 Combine like terms: 0.5q + -5.4q = -4.9q -5.1 + -4.9q = 0.5q + -1.5 Reorder the terms: -5.1 + -4.9q = -1.5 + 0.5q Solving -5.1 + -4.9q = -1.5 + 0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5q' to each side of the equation. -5.1 + -4.9q + -0.5q = -1.5 + 0.5q + -0.5q Combine like terms: -4.9q + -0.5q = -5.4q -5.1 + -5.4q = -1.5 + 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 -5.1 + -5.4q = -1.5 + 0.0 -5.1 + -5.4q = -1.5 Add '5.1' to each side of the equation. -5.1 + 5.1 + -5.4q = -1.5 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -5.4q = -1.5 + 5.1 -5.4q = -1.5 + 5.1 Combine like terms: -1.5 + 5.1 = 3.6 -5.4q = 3.6 Divide each side by '-5.4'. q = -0.6666666667 Simplifying q = -0.6666666667
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