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Simplifying 3.1q + -4.5 + -4.5q = 2.4q + -3.7 Reorder the terms: -4.5 + 3.1q + -4.5q = 2.4q + -3.7 Combine like terms: 3.1q + -4.5q = -1.4q -4.5 + -1.4q = 2.4q + -3.7 Reorder the terms: -4.5 + -1.4q = -3.7 + 2.4q Solving -4.5 + -1.4q = -3.7 + 2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.4q' to each side of the equation. -4.5 + -1.4q + -2.4q = -3.7 + 2.4q + -2.4q Combine like terms: -1.4q + -2.4q = -3.8q -4.5 + -3.8q = -3.7 + 2.4q + -2.4q Combine like terms: 2.4q + -2.4q = 0.0 -4.5 + -3.8q = -3.7 + 0.0 -4.5 + -3.8q = -3.7 Add '4.5' to each side of the equation. -4.5 + 4.5 + -3.8q = -3.7 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -3.8q = -3.7 + 4.5 -3.8q = -3.7 + 4.5 Combine like terms: -3.7 + 4.5 = 0.8 -3.8q = 0.8 Divide each side by '-3.8'. q = -0.2105263158 Simplifying q = -0.2105263158
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