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Simplifying 4.6q + -2.8 + -5.5q = 1.9q + -4.8 Reorder the terms: -2.8 + 4.6q + -5.5q = 1.9q + -4.8 Combine like terms: 4.6q + -5.5q = -0.9q -2.8 + -0.9q = 1.9q + -4.8 Reorder the terms: -2.8 + -0.9q = -4.8 + 1.9q Solving -2.8 + -0.9q = -4.8 + 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. -2.8 + -0.9q + -1.9q = -4.8 + 1.9q + -1.9q Combine like terms: -0.9q + -1.9q = -2.8q -2.8 + -2.8q = -4.8 + 1.9q + -1.9q Combine like terms: 1.9q + -1.9q = 0.0 -2.8 + -2.8q = -4.8 + 0.0 -2.8 + -2.8q = -4.8 Add '2.8' to each side of the equation. -2.8 + 2.8 + -2.8q = -4.8 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -2.8q = -4.8 + 2.8 -2.8q = -4.8 + 2.8 Combine like terms: -4.8 + 2.8 = -2 -2.8q = -2 Divide each side by '-2.8'. q = 0.7142857143 Simplifying q = 0.7142857143
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