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Simplifying -8.9q + 2 = -43.6 + -1.3q Reorder the terms: 2 + -8.9q = -43.6 + -1.3q Solving 2 + -8.9q = -43.6 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. 2 + -8.9q + 1.3q = -43.6 + -1.3q + 1.3q Combine like terms: -8.9q + 1.3q = -7.6q 2 + -7.6q = -43.6 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 2 + -7.6q = -43.6 + 0.0 2 + -7.6q = -43.6 Add '-2' to each side of the equation. 2 + -2 + -7.6q = -43.6 + -2 Combine like terms: 2 + -2 = 0 0 + -7.6q = -43.6 + -2 -7.6q = -43.6 + -2 Combine like terms: -43.6 + -2 = -45.6 -7.6q = -45.6 Divide each side by '-7.6'. q = 6 Simplifying q = 6
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