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Simplifying 4z + 1 + -2 = 1 + z Reorder the terms: 1 + -2 + 4z = 1 + z Combine like terms: 1 + -2 = -1 -1 + 4z = 1 + z Solving -1 + 4z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1 + 4z + -1z = 1 + z + -1z Combine like terms: 4z + -1z = 3z -1 + 3z = 1 + z + -1z Combine like terms: z + -1z = 0 -1 + 3z = 1 + 0 -1 + 3z = 1 Add '1' to each side of the equation. -1 + 1 + 3z = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 1 + 1 3z = 1 + 1 Combine like terms: 1 + 1 = 2 3z = 2 Divide each side by '3'. z = 0.6666666667 Simplifying z = 0.6666666667
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