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Simplifying 3.2q + -4.8 + -5.1q = 2.9q + -4.5 Reorder the terms: -4.8 + 3.2q + -5.1q = 2.9q + -4.5 Combine like terms: 3.2q + -5.1q = -1.9q -4.8 + -1.9q = 2.9q + -4.5 Reorder the terms: -4.8 + -1.9q = -4.5 + 2.9q Solving -4.8 + -1.9q = -4.5 + 2.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.9q' to each side of the equation. -4.8 + -1.9q + -2.9q = -4.5 + 2.9q + -2.9q Combine like terms: -1.9q + -2.9q = -4.8q -4.8 + -4.8q = -4.5 + 2.9q + -2.9q Combine like terms: 2.9q + -2.9q = 0.0 -4.8 + -4.8q = -4.5 + 0.0 -4.8 + -4.8q = -4.5 Add '4.8' to each side of the equation. -4.8 + 4.8 + -4.8q = -4.5 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -4.8q = -4.5 + 4.8 -4.8q = -4.5 + 4.8 Combine like terms: -4.5 + 4.8 = 0.3 -4.8q = 0.3 Divide each side by '-4.8'. q = -0.0625 Simplifying q = -0.0625
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