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Simplifying 5.2q + -4.2 + -4.3q = -0.1q + -3.2 Reorder the terms: -4.2 + 5.2q + -4.3q = -0.1q + -3.2 Combine like terms: 5.2q + -4.3q = 0.9q -4.2 + 0.9q = -0.1q + -3.2 Reorder the terms: -4.2 + 0.9q = -3.2 + -0.1q Solving -4.2 + 0.9q = -3.2 + -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -4.2 + 0.9q + 0.1q = -3.2 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -4.2 + 1q = -3.2 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -4.2 + 1q = -3.2 + 0.0 -4.2 + 1q = -3.2 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -3.2 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -3.2 + 4.2 1q = -3.2 + 4.2 Combine like terms: -3.2 + 4.2 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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