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Simplifying (3z + 5) = (6 + -1z) Reorder the terms: (5 + 3z) = (6 + -1z) Remove parenthesis around (5 + 3z) 5 + 3z = (6 + -1z) Remove parenthesis around (6 + -1z) 5 + 3z = 6 + -1z Solving 5 + 3z = 6 + -1z Solving 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. 5 + 3z + z = 6 + -1z + z Combine like terms: 3z + z = 4z 5 + 4z = 6 + -1z + z Combine like terms: -1z + z = 0 5 + 4z = 6 + 0 5 + 4z = 6 Add '-5' to each side of the equation. 5 + -5 + 4z = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = 6 + -5 4z = 6 + -5 Combine like terms: 6 + -5 = 1 4z = 1 Divide each side by '4'. z = 0.25 Simplifying z = 0.25
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