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Simplifying 3.6q + -5.4 + -4.8q = -2.2q + -3.4 Reorder the terms: -5.4 + 3.6q + -4.8q = -2.2q + -3.4 Combine like terms: 3.6q + -4.8q = -1.2q -5.4 + -1.2q = -2.2q + -3.4 Reorder the terms: -5.4 + -1.2q = -3.4 + -2.2q Solving -5.4 + -1.2q = -3.4 + -2.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.2q' to each side of the equation. -5.4 + -1.2q + 2.2q = -3.4 + -2.2q + 2.2q Combine like terms: -1.2q + 2.2q = 1q -5.4 + 1q = -3.4 + -2.2q + 2.2q Combine like terms: -2.2q + 2.2q = 0.0 -5.4 + 1q = -3.4 + 0.0 -5.4 + 1q = -3.4 Add '5.4' to each side of the equation. -5.4 + 5.4 + 1q = -3.4 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 1q = -3.4 + 5.4 1q = -3.4 + 5.4 Combine like terms: -3.4 + 5.4 = 2 1q = 2 Divide each side by '1'. q = 2 Simplifying q = 2
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