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Simplifying 4.1q + -2.7 + -5.9q = 2.8q + -3.3 Reorder the terms: -2.7 + 4.1q + -5.9q = 2.8q + -3.3 Combine like terms: 4.1q + -5.9q = -1.8q -2.7 + -1.8q = 2.8q + -3.3 Reorder the terms: -2.7 + -1.8q = -3.3 + 2.8q Solving -2.7 + -1.8q = -3.3 + 2.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.8q' to each side of the equation. -2.7 + -1.8q + -2.8q = -3.3 + 2.8q + -2.8q Combine like terms: -1.8q + -2.8q = -4.6q -2.7 + -4.6q = -3.3 + 2.8q + -2.8q Combine like terms: 2.8q + -2.8q = 0.0 -2.7 + -4.6q = -3.3 + 0.0 -2.7 + -4.6q = -3.3 Add '2.7' to each side of the equation. -2.7 + 2.7 + -4.6q = -3.3 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + -4.6q = -3.3 + 2.7 -4.6q = -3.3 + 2.7 Combine like terms: -3.3 + 2.7 = -0.6 -4.6q = -0.6 Divide each side by '-4.6'. q = 0.1304347826 Simplifying q = 0.1304347826
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