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Simplifying 4.2q + -1.7 + -5.5 = -2.3q + -5.7 Reorder the terms: -1.7 + -5.5 + 4.2q = -2.3q + -5.7 Combine like terms: -1.7 + -5.5 = -7.2 -7.2 + 4.2q = -2.3q + -5.7 Reorder the terms: -7.2 + 4.2q = -5.7 + -2.3q Solving -7.2 + 4.2q = -5.7 + -2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.3q' to each side of the equation. -7.2 + 4.2q + 2.3q = -5.7 + -2.3q + 2.3q Combine like terms: 4.2q + 2.3q = 6.5q -7.2 + 6.5q = -5.7 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -7.2 + 6.5q = -5.7 + 0.0 -7.2 + 6.5q = -5.7 Add '7.2' to each side of the equation. -7.2 + 7.2 + 6.5q = -5.7 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 6.5q = -5.7 + 7.2 6.5q = -5.7 + 7.2 Combine like terms: -5.7 + 7.2 = 1.5 6.5q = 1.5 Divide each side by '6.5'. q = 0.2307692308 Simplifying q = 0.2307692308
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