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Simplifying 3.2q + -3.6 + -4.1q = 1.9q + -4.8 Reorder the terms: -3.6 + 3.2q + -4.1q = 1.9q + -4.8 Combine like terms: 3.2q + -4.1q = -0.9q -3.6 + -0.9q = 1.9q + -4.8 Reorder the terms: -3.6 + -0.9q = -4.8 + 1.9q Solving -3.6 + -0.9q = -4.8 + 1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.9q' to each side of the equation. -3.6 + -0.9q + -1.9q = -4.8 + 1.9q + -1.9q Combine like terms: -0.9q + -1.9q = -2.8q -3.6 + -2.8q = -4.8 + 1.9q + -1.9q Combine like terms: 1.9q + -1.9q = 0.0 -3.6 + -2.8q = -4.8 + 0.0 -3.6 + -2.8q = -4.8 Add '3.6' to each side of the equation. -3.6 + 3.6 + -2.8q = -4.8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -2.8q = -4.8 + 3.6 -2.8q = -4.8 + 3.6 Combine like terms: -4.8 + 3.6 = -1.2 -2.8q = -1.2 Divide each side by '-2.8'. q = 0.4285714286 Simplifying q = 0.4285714286
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