Answer:Solution for 2z-4=12-1z equation:Simplifying2z + -4 = 12 + -1zReorder the terms:-4 + 2z = 12 + -1zSolving-4 + 2z = 12 + -1zSolving for variable 'z'.Move all terms containing z to the left, all other terms to the right.Add 'z' to each side of the equation.-4 + 2z + z = 12 + -1z + zCombine like terms: 2z + z = 3z-4 + 3z = 12 + -1z + zCombine like terms: -1z + z = 0-4 + 3z = 12 + 0-4 + 3z = 12Add '4' to each side of the equation.-4 + 4 + 3z = 12 + 4Combine like terms: -4 + 4 = 00 + 3z = 12 + 43z = 12 + 4Combine like terms: 12 + 4 = 163z = 16Divide each side by '3'.z = 5.333333333Simplifyingz = 5.333333333Step-by-step explanation: