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Simplifying 5.2q + -4.6 + -7.1q = -0.9q + -4.6 Reorder the terms: -4.6 + 5.2q + -7.1q = -0.9q + -4.6 Combine like terms: 5.2q + -7.1q = -1.9q -4.6 + -1.9q = -0.9q + -4.6 Reorder the terms: -4.6 + -1.9q = -4.6 + -0.9q Add '4.6' to each side of the equation. -4.6 + 4.6 + -1.9q = -4.6 + 4.6 + -0.9q Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -1.9q = -4.6 + 4.6 + -0.9q -1.9q = -4.6 + 4.6 + -0.9q Combine like terms: -4.6 + 4.6 = 0.0 -1.9q = 0.0 + -0.9q -1.9q = -0.9q Solving -1.9q = -0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.9q' to each side of the equation. -1.9q + 0.9q = -0.9q + 0.9q Combine like terms: -1.9q + 0.9q = -1q -1q = -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -1q = 0.0 Divide each side by '-1'. q = 0.0 Simplifying q = 0.0
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