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Simplifying 8z + 5 + -5z = 4 + 2z + -5 Reorder the terms: 5 + 8z + -5z = 4 + 2z + -5 Combine like terms: 8z + -5z = 3z 5 + 3z = 4 + 2z + -5 Reorder the terms: 5 + 3z = 4 + -5 + 2z Combine like terms: 4 + -5 = -1 5 + 3z = -1 + 2z Solving 5 + 3z = -1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 5 + 3z + -2z = -1 + 2z + -2z Combine like terms: 3z + -2z = 1z 5 + 1z = -1 + 2z + -2z Combine like terms: 2z + -2z = 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 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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