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Simplifying 5.3q + -1.1 + -4.8q = -0.5q + -2.8 Reorder the terms: -1.1 + 5.3q + -4.8q = -0.5q + -2.8 Combine like terms: 5.3q + -4.8q = 0.5q -1.1 + 0.5q = -0.5q + -2.8 Reorder the terms: -1.1 + 0.5q = -2.8 + -0.5q Solving -1.1 + 0.5q = -2.8 + -0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.5q' to each side of the equation. -1.1 + 0.5q + 0.5q = -2.8 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -1.1 + 1q = -2.8 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -1.1 + 1q = -2.8 + 0.0 -1.1 + 1q = -2.8 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1q = -2.8 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1q = -2.8 + 1.1 1q = -2.8 + 1.1 Combine like terms: -2.8 + 1.1 = -1.7 1q = -1.7 Divide each side by '1'. q = -1.7 Simplifying q = -1.7
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