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Simplifying -8.1q + 1.8 = -65.3 + -2q Reorder the terms: 1.8 + -8.1q = -65.3 + -2q Solving 1.8 + -8.1q = -65.3 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 1.8 + -8.1q + 2q = -65.3 + -2q + 2q Combine like terms: -8.1q + 2q = -6.1q 1.8 + -6.1q = -65.3 + -2q + 2q Combine like terms: -2q + 2q = 0 1.8 + -6.1q = -65.3 + 0 1.8 + -6.1q = -65.3 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -6.1q = -65.3 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -6.1q = -65.3 + -1.8 -6.1q = -65.3 + -1.8 Combine like terms: -65.3 + -1.8 = -67.1 -6.1q = -67.1 Divide each side by '-6.1'. q = 11 Simplifying q = 11
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