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Simplifying -11.2q + 1.4 = 56.8 + -1.5q Reorder the terms: 1.4 + -11.2q = 56.8 + -1.5q Solving 1.4 + -11.2q = 56.8 + -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. 1.4 + -11.2q + 1.5q = 56.8 + -1.5q + 1.5q Combine like terms: -11.2q + 1.5q = -9.7q 1.4 + -9.7q = 56.8 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 1.4 + -9.7q = 56.8 + 0.0 1.4 + -9.7q = 56.8 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -9.7q = 56.8 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -9.7q = 56.8 + -1.4 -9.7q = 56.8 + -1.4 Combine like terms: 56.8 + -1.4 = 55.4 -9.7q = 55.4 Divide each side by '-9.7'. q = -5.711340206 Simplifying q = -5.711340206
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