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Simplifying 3erty + 4erty = 5ertyz Combine like terms: 3erty + 4erty = 7erty 7erty = 5ertyz Solving 7erty = 5ertyz Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5ertyz' to each side of the equation. 7erty + -5ertyz = 5ertyz + -5ertyz Combine like terms: 5ertyz + -5ertyz = 0 7erty + -5ertyz = 0 Factor out the Greatest Common Factor (GCF), 'erty'. erty(7 + -5z) = 0Subproblem 1
Set the factor 'erty' equal to zero and attempt to solve: Simplifying erty = 0 Solving erty = 0 Move all terms containing e to the left, all other terms to the right. Simplifying erty = 0 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 '(7 + -5z)' equal to zero and attempt to solve: Simplifying 7 + -5z = 0 Solving 7 + -5z = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = 0 + -7 -5z = 0 + -7 Combine like terms: 0 + -7 = -7 -5z = -7 Add '5z' to each side of the equation. -5z + 5z = -7 + 5z Combine like terms: -5z + 5z = 0 0 = -7 + 5z Simplifying 0 = -7 + 5z 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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