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Simplifying 3.6q + -4.6 + -5.8q = -3.2q + -1.9 Reorder the terms: -4.6 + 3.6q + -5.8q = -3.2q + -1.9 Combine like terms: 3.6q + -5.8q = -2.2q -4.6 + -2.2q = -3.2q + -1.9 Reorder the terms: -4.6 + -2.2q = -1.9 + -3.2q Solving -4.6 + -2.2q = -1.9 + -3.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.2q' to each side of the equation. -4.6 + -2.2q + 3.2q = -1.9 + -3.2q + 3.2q Combine like terms: -2.2q + 3.2q = 1q -4.6 + 1q = -1.9 + -3.2q + 3.2q Combine like terms: -3.2q + 3.2q = 0.0 -4.6 + 1q = -1.9 + 0.0 -4.6 + 1q = -1.9 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -1.9 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -1.9 + 4.6 1q = -1.9 + 4.6 Combine like terms: -1.9 + 4.6 = 2.7 1q = 2.7 Divide each side by '1'. q = 2.7 Simplifying q = 2.7
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