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Simplifying q + -3x = 5q + 1 Reorder the terms: q + -3x = 1 + 5q Solving q + -3x = 1 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. q + -5q + -3x = 1 + 5q + -5q Combine like terms: q + -5q = -4q -4q + -3x = 1 + 5q + -5q Combine like terms: 5q + -5q = 0 -4q + -3x = 1 + 0 -4q + -3x = 1 Add '3x' to each side of the equation. -4q + -3x + 3x = 1 + 3x Combine like terms: -3x + 3x = 0 -4q + 0 = 1 + 3x -4q = 1 + 3x Divide each side by '-4'. q = -0.25 + -0.75x Simplifying q = -0.25 + -0.75x
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