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Simplifying 3.2q + -4.1 + -4.6q = -2.4q + -3.2 Reorder the terms: -4.1 + 3.2q + -4.6q = -2.4q + -3.2 Combine like terms: 3.2q + -4.6q = -1.4q -4.1 + -1.4q = -2.4q + -3.2 Reorder the terms: -4.1 + -1.4q = -3.2 + -2.4q Solving -4.1 + -1.4q = -3.2 + -2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.4q' to each side of the equation. -4.1 + -1.4q + 2.4q = -3.2 + -2.4q + 2.4q Combine like terms: -1.4q + 2.4q = 1q -4.1 + 1q = -3.2 + -2.4q + 2.4q Combine like terms: -2.4q + 2.4q = 0.0 -4.1 + 1q = -3.2 + 0.0 -4.1 + 1q = -3.2 Add '4.1' to each side of the equation. -4.1 + 4.1 + 1q = -3.2 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 1q = -3.2 + 4.1 1q = -3.2 + 4.1 Combine like terms: -3.2 + 4.1 = 0.9 1q = 0.9 Divide each side by '1'. q = 0.9 Simplifying q = 0.9
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