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Simplifying 3.2q + -4.6 + -2.3q = -0.1q + -4.5 Reorder the terms: -4.6 + 3.2q + -2.3q = -0.1q + -4.5 Combine like terms: 3.2q + -2.3q = 0.9q -4.6 + 0.9q = -0.1q + -4.5 Reorder the terms: -4.6 + 0.9q = -4.5 + -0.1q Solving -4.6 + 0.9q = -4.5 + -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. -4.6 + 0.9q + 0.1q = -4.5 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -4.6 + 1q = -4.5 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -4.6 + 1q = -4.5 + 0.0 -4.6 + 1q = -4.5 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -4.5 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -4.5 + 4.6 1q = -4.5 + 4.6 Combine like terms: -4.5 + 4.6 = 0.1 1q = 0.1 Divide each side by '1'. q = 0.1 Simplifying q = 0.1
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