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Simplifying 8uv + 3 = 4uv + -9 Reorder the terms: 3 + 8uv = 4uv + -9 Reorder the terms: 3 + 8uv = -9 + 4uv Solving 3 + 8uv = -9 + 4uv Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4uv' to each side of the equation. 3 + 8uv + -4uv = -9 + 4uv + -4uv Combine like terms: 8uv + -4uv = 4uv 3 + 4uv = -9 + 4uv + -4uv Combine like terms: 4uv + -4uv = 0 3 + 4uv = -9 + 0 3 + 4uv = -9 Add '-3' to each side of the equation. 3 + -3 + 4uv = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 4uv = -9 + -3 4uv = -9 + -3 Combine like terms: -9 + -3 = -12 4uv = -12 Divide each side by '4v'. u = -3v-1 Simplifying u = -3v-1
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