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Simplifying 4.2q + -4.5 + -4.1q = -0.9q + -2.8 Reorder the terms: -4.5 + 4.2q + -4.1q = -0.9q + -2.8 Combine like terms: 4.2q + -4.1q = 0.1q -4.5 + 0.1q = -0.9q + -2.8 Reorder the terms: -4.5 + 0.1q = -2.8 + -0.9q Solving -4.5 + 0.1q = -2.8 + -0.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.9q' to each side of the equation. -4.5 + 0.1q + 0.9q = -2.8 + -0.9q + 0.9q Combine like terms: 0.1q + 0.9q = 1q -4.5 + 1q = -2.8 + -0.9q + 0.9q Combine like terms: -0.9q + 0.9q = 0.0 -4.5 + 1q = -2.8 + 0.0 -4.5 + 1q = -2.8 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -2.8 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -2.8 + 4.5 1q = -2.8 + 4.5 Combine like terms: -2.8 + 4.5 = 1.7 1q = 1.7 Divide each side by '1'. q = 1.7 Simplifying q = 1.7
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