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Simplifying 5.2q + -3.7 + -5.3q = -1.1q + -3.7 Reorder the terms: -3.7 + 5.2q + -5.3q = -1.1q + -3.7 Combine like terms: 5.2q + -5.3q = -0.1q -3.7 + -0.1q = -1.1q + -3.7 Reorder the terms: -3.7 + -0.1q = -3.7 + -1.1q Add '3.7' to each side of the equation. -3.7 + 3.7 + -0.1q = -3.7 + 3.7 + -1.1q Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -0.1q = -3.7 + 3.7 + -1.1q -0.1q = -3.7 + 3.7 + -1.1q Combine like terms: -3.7 + 3.7 = 0.0 -0.1q = 0.0 + -1.1q -0.1q = -1.1q Solving -0.1q = -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -0.1q + 1.1q = -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q 1q = -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 1q = 0.0 Divide each side by '1'. q = 0.0 Simplifying q = 0.0
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