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Simplifying 2.9q + -5.6 + -2.3q = 0.4q + -5.4 Reorder the terms: -5.6 + 2.9q + -2.3q = 0.4q + -5.4 Combine like terms: 2.9q + -2.3q = 0.6q -5.6 + 0.6q = 0.4q + -5.4 Reorder the terms: -5.6 + 0.6q = -5.4 + 0.4q Solving -5.6 + 0.6q = -5.4 + 0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.4q' to each side of the equation. -5.6 + 0.6q + -0.4q = -5.4 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -5.6 + 0.2q = -5.4 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -5.6 + 0.2q = -5.4 + 0.0 -5.6 + 0.2q = -5.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + 0.2q = -5.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 0.2q = -5.4 + 5.6 0.2q = -5.4 + 5.6 Combine like terms: -5.4 + 5.6 = 0.2 0.2q = 0.2 Divide each side by '0.2'. q = 1 Simplifying q = 1
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