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Simplifying 6z + 5 + -1z = 6 + 4z + -5 Reorder the terms: 5 + 6z + -1z = 6 + 4z + -5 Combine like terms: 6z + -1z = 5z 5 + 5z = 6 + 4z + -5 Reorder the terms: 5 + 5z = 6 + -5 + 4z Combine like terms: 6 + -5 = 1 5 + 5z = 1 + 4z Solving 5 + 5z = 1 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + 5z + -4z = 1 + 4z + -4z Combine like terms: 5z + -4z = 1z 5 + 1z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 1z = 1 + 0 5 + 1z = 1 Add '-5' to each side of the equation. 5 + -5 + 1z = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 1 + -5 1z = 1 + -5 Combine like terms: 1 + -5 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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