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Simplifying 3.5q + 1 = 4q + -4 Reorder the terms: 1 + 3.5q = 4q + -4 Reorder the terms: 1 + 3.5q = -4 + 4q Solving 1 + 3.5q = -4 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 1 + 3.5q + -4q = -4 + 4q + -4q Combine like terms: 3.5q + -4q = -0.5q 1 + -0.5q = -4 + 4q + -4q Combine like terms: 4q + -4q = 0 1 + -0.5q = -4 + 0 1 + -0.5q = -4 Add '-1' to each side of the equation. 1 + -1 + -0.5q = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5q = -4 + -1 -0.5q = -4 + -1 Combine like terms: -4 + -1 = -5 -0.5q = -5 Divide each side by '-0.5'. q = 10 Simplifying q = 10
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