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Simplifying 8z + 2 + -5z = 2 + 2z + -5 Reorder the terms: 2 + 8z + -5z = 2 + 2z + -5 Combine like terms: 8z + -5z = 3z 2 + 3z = 2 + 2z + -5 Reorder the terms: 2 + 3z = 2 + -5 + 2z Combine like terms: 2 + -5 = -3 2 + 3z = -3 + 2z Solving 2 + 3z = -3 + 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. 2 + 3z + -2z = -3 + 2z + -2z Combine like terms: 3z + -2z = 1z 2 + 1z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 1z = -3 + 0 2 + 1z = -3 Add '-2' to each side of the equation. 2 + -2 + 1z = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = -3 + -2 1z = -3 + -2 Combine like terms: -3 + -2 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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