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Simplifying 2.2q + -5.2 + -3.3q = -2.1q + -4.7 Reorder the terms: -5.2 + 2.2q + -3.3q = -2.1q + -4.7 Combine like terms: 2.2q + -3.3q = -1.1q -5.2 + -1.1q = -2.1q + -4.7 Reorder the terms: -5.2 + -1.1q = -4.7 + -2.1q Solving -5.2 + -1.1q = -4.7 + -2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.1q' to each side of the equation. -5.2 + -1.1q + 2.1q = -4.7 + -2.1q + 2.1q Combine like terms: -1.1q + 2.1q = 1q -5.2 + 1q = -4.7 + -2.1q + 2.1q Combine like terms: -2.1q + 2.1q = 0.0 -5.2 + 1q = -4.7 + 0.0 -5.2 + 1q = -4.7 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -4.7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -4.7 + 5.2 1q = -4.7 + 5.2 Combine like terms: -4.7 + 5.2 = 0.5 1q = 0.5 Divide each side by '1'. q = 0.5 Simplifying q = 0.5
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