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Simplifying 11 = z8 + 2 Reorder the terms: 11 = 2 + z8 Solving 11 = 2 + z8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z8' to each side of the equation. 11 + -1z8 = 2 + z8 + -1z8 Combine like terms: z8 + -1z8 = 0 11 + -1z8 = 2 + 0 11 + -1z8 = 2 Add '-11' to each side of the equation. 11 + -11 + -1z8 = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -1z8 = 2 + -11 -1z8 = 2 + -11 Combine like terms: 2 + -11 = -9 -1z8 = -9 Divide each side by '-1'. z8 = 9 Simplifying z8 = 9 Reorder the terms: -9 + z8 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + z8 = 0 Factor a difference between two squares. (3 + z4)(-3 + z4) = 0Subproblem 1
Set the factor '(3 + z4)' equal to zero and attempt to solve: Simplifying 3 + z4 = 0 Solving 3 + z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z4 = 0 + -3 z4 = 0 + -3 Combine like terms: 0 + -3 = -3 z4 = -3 Simplifying z4 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + z4)' equal to zero and attempt to solve: Simplifying -3 + z4 = 0 Solving -3 + z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + z4 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + z4 = 0 + 3 z4 = 0 + 3 Combine like terms: 0 + 3 = 3 z4 = 3 Simplifying z4 = 3 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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