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Simplifying 2.7q + -3.7 + -1.8q = 0.1q + -3.6 Reorder the terms: -3.7 + 2.7q + -1.8q = 0.1q + -3.6 Combine like terms: 2.7q + -1.8q = 0.9q -3.7 + 0.9q = 0.1q + -3.6 Reorder the terms: -3.7 + 0.9q = -3.6 + 0.1q Solving -3.7 + 0.9q = -3.6 + 0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.1q' to each side of the equation. -3.7 + 0.9q + -0.1q = -3.6 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -3.7 + 0.8q = -3.6 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -3.7 + 0.8q = -3.6 + 0.0 -3.7 + 0.8q = -3.6 Add '3.7' to each side of the equation. -3.7 + 3.7 + 0.8q = -3.6 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + 0.8q = -3.6 + 3.7 0.8q = -3.6 + 3.7 Combine like terms: -3.6 + 3.7 = 0.1 0.8q = 0.1 Divide each side by '0.8'. q = 0.125 Simplifying q = 0.125
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