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Simplifying -0.1 + -5.3q = -19.69 + 9.96 + -6.2q Combine like terms: -19.69 + 9.96 = -9.73 -0.1 + -5.3q = -9.73 + -6.2q Solving -0.1 + -5.3q = -9.73 + -6.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6.2q' to each side of the equation. -0.1 + -5.3q + 6.2q = -9.73 + -6.2q + 6.2q Combine like terms: -5.3q + 6.2q = 0.9q -0.1 + 0.9q = -9.73 + -6.2q + 6.2q Combine like terms: -6.2q + 6.2q = 0.0 -0.1 + 0.9q = -9.73 + 0.0 -0.1 + 0.9q = -9.73 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.9q = -9.73 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.9q = -9.73 + 0.1 0.9q = -9.73 + 0.1 Combine like terms: -9.73 + 0.1 = -9.63 0.9q = -9.63 Divide each side by '0.9'. q = -10.7 Simplifying q = -10.7
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