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Simplifying 1.3q + -5.1 + -1.2q = -9q + -5.3 Reorder the terms: -5.1 + 1.3q + -1.2q = -9q + -5.3 Combine like terms: 1.3q + -1.2q = 0.1q -5.1 + 0.1q = -9q + -5.3 Reorder the terms: -5.1 + 0.1q = -5.3 + -9q Solving -5.1 + 0.1q = -5.3 + -9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9q' to each side of the equation. -5.1 + 0.1q + 9q = -5.3 + -9q + 9q Combine like terms: 0.1q + 9q = 9.1q -5.1 + 9.1q = -5.3 + -9q + 9q Combine like terms: -9q + 9q = 0 -5.1 + 9.1q = -5.3 + 0 -5.1 + 9.1q = -5.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + 9.1q = -5.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 9.1q = -5.3 + 5.1 9.1q = -5.3 + 5.1 Combine like terms: -5.3 + 5.1 = -0.2 9.1q = -0.2 Divide each side by '9.1'. q = -0.02197802198 Simplifying q = -0.02197802198
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