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Simplifying 4.9q + -1.7 + -5.8q = 1.9q + -5.4 Reorder the terms: -1.7 + 4.9q + -5.8q = 1.9q + -5.4 Combine like terms: 4.9q + -5.8q = -0.9q -1.7 + -0.9q = 1.9q + -5.4 Reorder the terms: -1.7 + -0.9q = -5.4 + 1.9q Solving -1.7 + -0.9q = -5.4 + 1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.9q' to each side of the equation. -1.7 + -0.9q + -1.9q = -5.4 + 1.9q + -1.9q Combine like terms: -0.9q + -1.9q = -2.8q -1.7 + -2.8q = -5.4 + 1.9q + -1.9q Combine like terms: 1.9q + -1.9q = 0.0 -1.7 + -2.8q = -5.4 + 0.0 -1.7 + -2.8q = -5.4 Add '1.7' to each side of the equation. -1.7 + 1.7 + -2.8q = -5.4 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + -2.8q = -5.4 + 1.7 -2.8q = -5.4 + 1.7 Combine like terms: -5.4 + 1.7 = -3.7 -2.8q = -3.7 Divide each side by '-2.8'. q = 1.321428571 Simplifying q = 1.321428571
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