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Simplifying 1.3q + -5.6q + 1.2 = -33.2 Reorder the terms: 1.2 + 1.3q + -5.6q = -33.2 Combine like terms: 1.3q + -5.6q = -4.3q 1.2 + -4.3q = -33.2 Solving 1.2 + -4.3q = -33.2 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 + -4.3q = -33.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -4.3q = -33.2 + -1.2 -4.3q = -33.2 + -1.2 Combine like terms: -33.2 + -1.2 = -34.4 -4.3q = -34.4 Divide each side by '-4.3'. q = 8 Simplifying q = 8
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