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Simplifying 5.2q + -4.6 + -7.1q = -0.9 + -4.6 Reorder the terms: -4.6 + 5.2q + -7.1q = -0.9 + -4.6 Combine like terms: 5.2q + -7.1q = -1.9q -4.6 + -1.9q = -0.9 + -4.6 Combine like terms: -0.9 + -4.6 = -5.5 -4.6 + -1.9q = -5.5 Solving -4.6 + -1.9q = -5.5 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.6' to each side of the equation. -4.6 + 4.6 + -1.9q = -5.5 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -1.9q = -5.5 + 4.6 -1.9q = -5.5 + 4.6 Combine like terms: -5.5 + 4.6 = -0.9 -1.9q = -0.9 Divide each side by '-1.9'. q = 0.4736842105 Simplifying q = 0.4736842105
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