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Simplifying 4.9q + -1.6 + -5.4q = 1.5q + -1.8 Reorder the terms: -1.6 + 4.9q + -5.4q = 1.5q + -1.8 Combine like terms: 4.9q + -5.4q = -0.5q -1.6 + -0.5q = 1.5q + -1.8 Reorder the terms: -1.6 + -0.5q = -1.8 + 1.5q Solving -1.6 + -0.5q = -1.8 + 1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.5q' to each side of the equation. -1.6 + -0.5q + -1.5q = -1.8 + 1.5q + -1.5q Combine like terms: -0.5q + -1.5q = -2q -1.6 + -2q = -1.8 + 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 -1.6 + -2q = -1.8 + 0.0 -1.6 + -2q = -1.8 Add '1.6' to each side of the equation. -1.6 + 1.6 + -2q = -1.8 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -2q = -1.8 + 1.6 -2q = -1.8 + 1.6 Combine like terms: -1.8 + 1.6 = -0.2 -2q = -0.2 Divide each side by '-2'. q = 0.1 Simplifying q = 0.1
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