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Simplifying 2.1q + -5.1 + -5.2q = -4.1q + -4.4 Reorder the terms: -5.1 + 2.1q + -5.2q = -4.1q + -4.4 Combine like terms: 2.1q + -5.2q = -3.1q -5.1 + -3.1q = -4.1q + -4.4 Reorder the terms: -5.1 + -3.1q = -4.4 + -4.1q Solving -5.1 + -3.1q = -4.4 + -4.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.1q' to each side of the equation. -5.1 + -3.1q + 4.1q = -4.4 + -4.1q + 4.1q Combine like terms: -3.1q + 4.1q = 1q -5.1 + 1q = -4.4 + -4.1q + 4.1q Combine like terms: -4.1q + 4.1q = 0.0 -5.1 + 1q = -4.4 + 0.0 -5.1 + 1q = -4.4 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -4.4 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -4.4 + 5.1 1q = -4.4 + 5.1 Combine like terms: -4.4 + 5.1 = 0.7 1q = 0.7 Divide each side by '1'. q = 0.7 Simplifying q = 0.7
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