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Simplifying -10.9q + 1.2 = -36.8 + -1.4q Reorder the terms: 1.2 + -10.9q = -36.8 + -1.4q Solving 1.2 + -10.9q = -36.8 + -1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4q' to each side of the equation. 1.2 + -10.9q + 1.4q = -36.8 + -1.4q + 1.4q Combine like terms: -10.9q + 1.4q = -9.5q 1.2 + -9.5q = -36.8 + -1.4q + 1.4q Combine like terms: -1.4q + 1.4q = 0.0 1.2 + -9.5q = -36.8 + 0.0 1.2 + -9.5q = -36.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -9.5q = -36.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -9.5q = -36.8 + -1.2 -9.5q = -36.8 + -1.2 Combine like terms: -36.8 + -1.2 = -38 -9.5q = -38 Divide each side by '-9.5'. q = 4 Simplifying q = 4
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