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Simplifying 2(2q + 1) = 4 + -3k Reorder the terms: 2(1 + 2q) = 4 + -3k (1 * 2 + 2q * 2) = 4 + -3k (2 + 4q) = 4 + -3k Solving 2 + 4q = 4 + -3k Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4q = 4 + -2 + -3k Combine like terms: 2 + -2 = 0 0 + 4q = 4 + -2 + -3k 4q = 4 + -2 + -3k Combine like terms: 4 + -2 = 2 4q = 2 + -3k Divide each side by '4'. q = 0.5 + -0.75k Simplifying q = 0.5 + -0.75k
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