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