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Simplifying 5.1q + -2.5 + -4.2q = -0.1q + -5.3 Reorder the terms: -2.5 + 5.1q + -4.2q = -0.1q + -5.3 Combine like terms: 5.1q + -4.2q = 0.9q -2.5 + 0.9q = -0.1q + -5.3 Reorder the terms: -2.5 + 0.9q = -5.3 + -0.1q Solving -2.5 + 0.9q = -5.3 + -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. -2.5 + 0.9q + 0.1q = -5.3 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -2.5 + 1q = -5.3 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -2.5 + 1q = -5.3 + 0.0 -2.5 + 1q = -5.3 Add '2.5' to each side of the equation. -2.5 + 2.5 + 1q = -5.3 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1q = -5.3 + 2.5 1q = -5.3 + 2.5 Combine like terms: -5.3 + 2.5 = -2.8 1q = -2.8 Divide each side by '1'. q = -2.8 Simplifying q = -2.8
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