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Simplifying (4z + -1) = 1(z + 2) Reorder the terms: (-1 + 4z) = 1(z + 2) Remove parenthesis around (-1 + 4z) -1 + 4z = 1(z + 2) Reorder the terms: -1 + 4z = 1(2 + z) -1 + 4z = (2 * 1 + z * 1) -1 + 4z = (2 + 1z) Solving -1 + 4z = 2 + 1z 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 = 2 + 1z + -1z Combine like terms: 4z + -1z = 3z -1 + 3z = 2 + 1z + -1z Combine like terms: 1z + -1z = 0 -1 + 3z = 2 + 0 -1 + 3z = 2 Add '1' to each side of the equation. -1 + 1 + 3z = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 2 + 1 3z = 2 + 1 Combine like terms: 2 + 1 = 3 3z = 3 Divide each side by '3'. z = 1 Simplifying z = 1
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