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Simplifying 2.3q + -3.4 + -2.6q = 1.3q + -1.4 Reorder the terms: -3.4 + 2.3q + -2.6q = 1.3q + -1.4 Combine like terms: 2.3q + -2.6q = -0.3q -3.4 + -0.3q = 1.3q + -1.4 Reorder the terms: -3.4 + -0.3q = -1.4 + 1.3q Solving -3.4 + -0.3q = -1.4 + 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. -3.4 + -0.3q + -1.3q = -1.4 + 1.3q + -1.3q Combine like terms: -0.3q + -1.3q = -1.6q -3.4 + -1.6q = -1.4 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -3.4 + -1.6q = -1.4 + 0.0 -3.4 + -1.6q = -1.4 Add '3.4' to each side of the equation. -3.4 + 3.4 + -1.6q = -1.4 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -1.6q = -1.4 + 3.4 -1.6q = -1.4 + 3.4 Combine like terms: -1.4 + 3.4 = 2 -1.6q = 2 Divide each side by '-1.6'. q = -1.25 Simplifying q = -1.25
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