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Simplifying 1.3q + -1.6 + -4.1q = -3.8q + -3.7 Reorder the terms: -1.6 + 1.3q + -4.1q = -3.8q + -3.7 Combine like terms: 1.3q + -4.1q = -2.8q -1.6 + -2.8q = -3.8q + -3.7 Reorder the terms: -1.6 + -2.8q = -3.7 + -3.8q Solving -1.6 + -2.8q = -3.7 + -3.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.8q' to each side of the equation. -1.6 + -2.8q + 3.8q = -3.7 + -3.8q + 3.8q Combine like terms: -2.8q + 3.8q = 1q -1.6 + 1q = -3.7 + -3.8q + 3.8q Combine like terms: -3.8q + 3.8q = 0.0 -1.6 + 1q = -3.7 + 0.0 -1.6 + 1q = -3.7 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1q = -3.7 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1q = -3.7 + 1.6 1q = -3.7 + 1.6 Combine like terms: -3.7 + 1.6 = -2.1 1q = -2.1 Divide each side by '1'. q = -2.1 Simplifying q = -2.1
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