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Simplifying 3.1q + -4.6 + -2.5q = 0.4q + -4.8 Reorder the terms: -4.6 + 3.1q + -2.5q = 0.4q + -4.8 Combine like terms: 3.1q + -2.5q = 0.6q -4.6 + 0.6q = 0.4q + -4.8 Reorder the terms: -4.6 + 0.6q = -4.8 + 0.4q Solving -4.6 + 0.6q = -4.8 + 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. -4.6 + 0.6q + -0.4q = -4.8 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -4.6 + 0.2q = -4.8 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -4.6 + 0.2q = -4.8 + 0.0 -4.6 + 0.2q = -4.8 Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.2q = -4.8 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.2q = -4.8 + 4.6 0.2q = -4.8 + 4.6 Combine like terms: -4.8 + 4.6 = -0.2 0.2q = -0.2 Divide each side by '0.2'. q = -1 Simplifying q = -1
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