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Simplifying -14.27 + -2.4q + 14.6q = 13.1q + 0.67 Combine like terms: -2.4q + 14.6q = 12.2q -14.27 + 12.2q = 13.1q + 0.67 Reorder the terms: -14.27 + 12.2q = 0.67 + 13.1q Solving -14.27 + 12.2q = 0.67 + 13.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13.1q' to each side of the equation. -14.27 + 12.2q + -13.1q = 0.67 + 13.1q + -13.1q Combine like terms: 12.2q + -13.1q = -0.9q -14.27 + -0.9q = 0.67 + 13.1q + -13.1q Combine like terms: 13.1q + -13.1q = 0.0 -14.27 + -0.9q = 0.67 + 0.0 -14.27 + -0.9q = 0.67 Add '14.27' to each side of the equation. -14.27 + 14.27 + -0.9q = 0.67 + 14.27 Combine like terms: -14.27 + 14.27 = 0.00 0.00 + -0.9q = 0.67 + 14.27 -0.9q = 0.67 + 14.27 Combine like terms: 0.67 + 14.27 = 14.94 -0.9q = 14.94 Divide each side by '-0.9'. q = -16.6 Simplifying q = -16.6
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