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Simplifying 1.3q + -4.6 + -4.8q = 4.5q + -1.2 Reorder the terms: -4.6 + 1.3q + -4.8q = 4.5q + -1.2 Combine like terms: 1.3q + -4.8q = -3.5q -4.6 + -3.5q = 4.5q + -1.2 Reorder the terms: -4.6 + -3.5q = -1.2 + 4.5q Solving -4.6 + -3.5q = -1.2 + 4.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.5q' to each side of the equation. -4.6 + -3.5q + -4.5q = -1.2 + 4.5q + -4.5q Combine like terms: -3.5q + -4.5q = -8q -4.6 + -8q = -1.2 + 4.5q + -4.5q Combine like terms: 4.5q + -4.5q = 0.0 -4.6 + -8q = -1.2 + 0.0 -4.6 + -8q = -1.2 Add '4.6' to each side of the equation. -4.6 + 4.6 + -8q = -1.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -8q = -1.2 + 4.6 -8q = -1.2 + 4.6 Combine like terms: -1.2 + 4.6 = 3.4 -8q = 3.4 Divide each side by '-8'. q = -0.425 Simplifying q = -0.425
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