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Simplifying 3.3q + -1.8 + -3.8q = -1.5q + -4.6 Reorder the terms: -1.8 + 3.3q + -3.8q = -1.5q + -4.6 Combine like terms: 3.3q + -3.8q = -0.5q -1.8 + -0.5q = -1.5q + -4.6 Reorder the terms: -1.8 + -0.5q = -4.6 + -1.5q Solving -1.8 + -0.5q = -4.6 + -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. -1.8 + -0.5q + 1.5q = -4.6 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -1.8 + 1q = -4.6 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -1.8 + 1q = -4.6 + 0.0 -1.8 + 1q = -4.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1q = -4.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1q = -4.6 + 1.8 1q = -4.6 + 1.8 Combine like terms: -4.6 + 1.8 = -2.8 1q = -2.8 Divide each side by '1'. q = -2.8 Simplifying q = -2.8
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