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Simplifying 2.6q + -3.2 + -2.9q = 1.3q + -1.5 Reorder the terms: -3.2 + 2.6q + -2.9q = 1.3q + -1.5 Combine like terms: 2.6q + -2.9q = -0.3q -3.2 + -0.3q = 1.3q + -1.5 Reorder the terms: -3.2 + -0.3q = -1.5 + 1.3q Solving -3.2 + -0.3q = -1.5 + 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. -3.2 + -0.3q + -1.3q = -1.5 + 1.3q + -1.3q Combine like terms: -0.3q + -1.3q = -1.6q -3.2 + -1.6q = -1.5 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -3.2 + -1.6q = -1.5 + 0.0 -3.2 + -1.6q = -1.5 Add '3.2' to each side of the equation. -3.2 + 3.2 + -1.6q = -1.5 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -1.6q = -1.5 + 3.2 -1.6q = -1.5 + 3.2 Combine like terms: -1.5 + 3.2 = 1.7 -1.6q = 1.7 Divide each side by '-1.6'. q = -1.0625 Simplifying q = -1.0625
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