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Simplifying 8X(z + 6) + -2z = 34 Reorder the terms: 8X(6 + z) + -2z = 34 (6 * 8X + z * 8X) + -2z = 34 (48X + 8zX) + -2z = 34 Reorder the terms: 48X + -2z + 8zX = 34 Solving 48X + -2z + 8zX = 34 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2z' to each side of the equation. 48X + -2z + 2z + 8zX = 34 + 2z Combine like terms: -2z + 2z = 0 48X + 0 + 8zX = 34 + 2z 48X + 8zX = 34 + 2z Reorder the terms: -34 + 48X + -2z + 8zX = 34 + 2z + -34 + -2z Reorder the terms: -34 + 48X + -2z + 8zX = 34 + -34 + 2z + -2z Combine like terms: 34 + -34 = 0 -34 + 48X + -2z + 8zX = 0 + 2z + -2z -34 + 48X + -2z + 8zX = 2z + -2z Combine like terms: 2z + -2z = 0 -34 + 48X + -2z + 8zX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-17 + 24X + -1z + 4zX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + 24X + -1z + 4zX)' equal to zero and attempt to solve: Simplifying -17 + 24X + -1z + 4zX = 0 Solving -17 + 24X + -1z + 4zX = 0 Move all terms containing X to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 24X + -1z + 17 + 4zX = 0 + 17 Reorder the terms: -17 + 17 + 24X + -1z + 4zX = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 24X + -1z + 4zX = 0 + 17 24X + -1z + 4zX = 0 + 17 Combine like terms: 0 + 17 = 17 24X + -1z + 4zX = 17 Add 'z' to each side of the equation. 24X + -1z + z + 4zX = 17 + z Combine like terms: -1z + z = 0 24X + 0 + 4zX = 17 + z 24X + 4zX = 17 + z 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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