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Simplifying 3.1q + -4.1 + -3.6q = 1.5q + -1.3 Reorder the terms: -4.1 + 3.1q + -3.6q = 1.5q + -1.3 Combine like terms: 3.1q + -3.6q = -0.5q -4.1 + -0.5q = 1.5q + -1.3 Reorder the terms: -4.1 + -0.5q = -1.3 + 1.5q Solving -4.1 + -0.5q = -1.3 + 1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.5q' to each side of the equation. -4.1 + -0.5q + -1.5q = -1.3 + 1.5q + -1.5q Combine like terms: -0.5q + -1.5q = -2q -4.1 + -2q = -1.3 + 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 -4.1 + -2q = -1.3 + 0.0 -4.1 + -2q = -1.3 Add '4.1' to each side of the equation. -4.1 + 4.1 + -2q = -1.3 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -2q = -1.3 + 4.1 -2q = -1.3 + 4.1 Combine like terms: -1.3 + 4.1 = 2.8 -2q = 2.8 Divide each side by '-2'. q = -1.4 Simplifying q = -1.4
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