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Simplifying 2.6q + -5.1 + -2.4q = 0.8q + -4.3 Reorder the terms: -5.1 + 2.6q + -2.4q = 0.8q + -4.3 Combine like terms: 2.6q + -2.4q = 0.2q -5.1 + 0.2q = 0.8q + -4.3 Reorder the terms: -5.1 + 0.2q = -4.3 + 0.8q Solving -5.1 + 0.2q = -4.3 + 0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.8q' to each side of the equation. -5.1 + 0.2q + -0.8q = -4.3 + 0.8q + -0.8q Combine like terms: 0.2q + -0.8q = -0.6q -5.1 + -0.6q = -4.3 + 0.8q + -0.8q Combine like terms: 0.8q + -0.8q = 0.0 -5.1 + -0.6q = -4.3 + 0.0 -5.1 + -0.6q = -4.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + -0.6q = -4.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -0.6q = -4.3 + 5.1 -0.6q = -4.3 + 5.1 Combine like terms: -4.3 + 5.1 = 0.8 -0.6q = 0.8 Divide each side by '-0.6'. q = -1.333333333 Simplifying q = -1.333333333
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