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Simplifying -1uv + 7v + -3w + -9 = -2v + 3w + -9 Reorder the terms: -9 + -1uv + 7v + -3w = -2v + 3w + -9 Reorder the terms: -9 + -1uv + 7v + -3w = -9 + -2v + 3w Add '9' to each side of the equation. -9 + -1uv + 7v + 9 + -3w = -9 + -2v + 9 + 3w Reorder the terms: -9 + 9 + -1uv + 7v + -3w = -9 + -2v + 9 + 3w Combine like terms: -9 + 9 = 0 0 + -1uv + 7v + -3w = -9 + -2v + 9 + 3w -1uv + 7v + -3w = -9 + -2v + 9 + 3w Reorder the terms: -1uv + 7v + -3w = -9 + 9 + -2v + 3w Combine like terms: -9 + 9 = 0 -1uv + 7v + -3w = 0 + -2v + 3w -1uv + 7v + -3w = -2v + 3w Solving -1uv + 7v + -3w = -2v + 3w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7v' to each side of the equation. -1uv + 7v + -7v + -3w = -2v + -7v + 3w Combine like terms: 7v + -7v = 0 -1uv + 0 + -3w = -2v + -7v + 3w -1uv + -3w = -2v + -7v + 3w Combine like terms: -2v + -7v = -9v -1uv + -3w = -9v + 3w Add '3w' to each side of the equation. -1uv + -3w + 3w = -9v + 3w + 3w Combine like terms: -3w + 3w = 0 -1uv + 0 = -9v + 3w + 3w -1uv = -9v + 3w + 3w Combine like terms: 3w + 3w = 6w -1uv = -9v + 6w Divide each side by '-1v'. u = 9 + -6v-1w Simplifying u = 9 + -6v-1w
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