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Simplifying u(v + 5) + w(v + -7) = z(v + -1) Reorder the terms: u(5 + v) + w(v + -7) = z(v + -1) (5 * u + v * u) + w(v + -7) = z(v + -1) (5u + uv) + w(v + -7) = z(v + -1) Reorder the terms: 5u + uv + w(-7 + v) = z(v + -1) 5u + uv + (-7 * w + v * w) = z(v + -1) Reorder the terms: 5u + uv + (vw + -7w) = z(v + -1) 5u + uv + (vw + -7w) = z(v + -1) Reorder the terms: 5u + uv + vw + -7w = z(-1 + v) 5u + uv + vw + -7w = (-1 * z + v * z) Reorder the terms: 5u + uv + vw + -7w = (vz + -1z) 5u + uv + vw + -7w = (vz + -1z) Solving 5u + uv + vw + -7w = vz + -1z Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1vw' to each side of the equation. 5u + uv + vw + -1vw + -7w = vz + -1vw + -1z Combine like terms: vw + -1vw = 0 5u + uv + 0 + -7w = vz + -1vw + -1z 5u + uv + -7w = vz + -1vw + -1z Reorder the terms: 5u + uv + -7w = -1vw + vz + -1z Add '7w' to each side of the equation. 5u + uv + -7w + 7w = -1vw + vz + 7w + -1z Combine like terms: -7w + 7w = 0 5u + uv + 0 = -1vw + vz + 7w + -1z 5u + uv = -1vw + vz + 7w + -1z Reorder the terms: 5u + uv + vw + -1vz + -7w + z = -1vw + vw + vz + -1vz + 7w + -7w + -1z + z Combine like terms: -1vw + vw = 0 5u + uv + vw + -1vz + -7w + z = 0 + vz + -1vz + 7w + -7w + -1z + z 5u + uv + vw + -1vz + -7w + z = vz + -1vz + 7w + -7w + -1z + z Combine like terms: vz + -1vz = 0 5u + uv + vw + -1vz + -7w + z = 0 + 7w + -7w + -1z + z 5u + uv + vw + -1vz + -7w + z = 7w + -7w + -1z + z Combine like terms: 7w + -7w = 0 5u + uv + vw + -1vz + -7w + z = 0 + -1z + z 5u + uv + vw + -1vz + -7w + z = -1z + z Combine like terms: -1z + z = 0 5u + uv + vw + -1vz + -7w + z = 0 The solution to this equation could not be determined.
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