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Simplifying 1.2q + -7.8q + 1.2 = 51.6 Reorder the terms: 1.2 + 1.2q + -7.8q = 51.6 Combine like terms: 1.2q + -7.8q = -6.6q 1.2 + -6.6q = 51.6 Solving 1.2 + -6.6q = 51.6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + -6.6q = 51.6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -6.6q = 51.6 + -1.2 -6.6q = 51.6 + -1.2 Combine like terms: 51.6 + -1.2 = 50.4 -6.6q = 50.4 Divide each side by '-6.6'. q = -7.636363636 Simplifying q = -7.636363636
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