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Simplifying 32z + 11 + -28z = 50 + 2xz + -1(-1) Reorder the terms: 11 + 32z + -28z = 50 + 2xz + -1(-1) Combine like terms: 32z + -28z = 4z 11 + 4z = 50 + 2xz + -1(-1) Multiply -1 * -1 11 + 4z = 50 + 2xz + 1 Reorder the terms: 11 + 4z = 50 + 1 + 2xz Combine like terms: 50 + 1 = 51 11 + 4z = 51 + 2xz Solving 11 + 4z = 51 + 2xz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2xz' to each side of the equation. 11 + -2xz + 4z = 51 + 2xz + -2xz Combine like terms: 2xz + -2xz = 0 11 + -2xz + 4z = 51 + 0 11 + -2xz + 4z = 51 Add '-11' to each side of the equation. 11 + -2xz + -11 + 4z = 51 + -11 Reorder the terms: 11 + -11 + -2xz + 4z = 51 + -11 Combine like terms: 11 + -11 = 0 0 + -2xz + 4z = 51 + -11 -2xz + 4z = 51 + -11 Combine like terms: 51 + -11 = 40 -2xz + 4z = 40 Reorder the terms: -40 + -2xz + 4z = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + -2xz + 4z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -1xz + 2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -1xz + 2z)' equal to zero and attempt to solve: Simplifying -20 + -1xz + 2z = 0 Solving -20 + -1xz + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -1xz + 20 + 2z = 0 + 20 Reorder the terms: -20 + 20 + -1xz + 2z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1xz + 2z = 0 + 20 -1xz + 2z = 0 + 20 Combine like terms: 0 + 20 = 20 -1xz + 2z = 20 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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