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Simplifying 3.3q + -2.1 + -3.5q = -1.2q + -4.6 Reorder the terms: -2.1 + 3.3q + -3.5q = -1.2q + -4.6 Combine like terms: 3.3q + -3.5q = -0.2q -2.1 + -0.2q = -1.2q + -4.6 Reorder the terms: -2.1 + -0.2q = -4.6 + -1.2q Solving -2.1 + -0.2q = -4.6 + -1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.2q' to each side of the equation. -2.1 + -0.2q + 1.2q = -4.6 + -1.2q + 1.2q Combine like terms: -0.2q + 1.2q = 1q -2.1 + 1q = -4.6 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -2.1 + 1q = -4.6 + 0.0 -2.1 + 1q = -4.6 Add '2.1' to each side of the equation. -2.1 + 2.1 + 1q = -4.6 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 1q = -4.6 + 2.1 1q = -4.6 + 2.1 Combine like terms: -4.6 + 2.1 = -2.5 1q = -2.5 Divide each side by '1'. q = -2.5 Simplifying q = -2.5
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