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Simplifying 4z4 = 84z3 Solving 4z4 = 84z3 Solving for variable 'z'. Reorder the terms: -84z3 + 4z4 = 84z3 + -84z3 Combine like terms: 84z3 + -84z3 = 0 -84z3 + 4z4 = 0 Factor out the Greatest Common Factor (GCF), '4z3'. 4z3(-21 + z) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve: Simplifying z3 = 0 Solving z3 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z3 = 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 '(-21 + z)' equal to zero and attempt to solve: Simplifying -21 + z = 0 Solving -21 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + z = 0 + 21 z = 0 + 21 Combine like terms: 0 + 21 = 21 z = 21 Simplifying z = 21Solution
z = {21}
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