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Simplifying 8z + 8 + -2z = 6 + 5z + -3 Reorder the terms: 8 + 8z + -2z = 6 + 5z + -3 Combine like terms: 8z + -2z = 6z 8 + 6z = 6 + 5z + -3 Reorder the terms: 8 + 6z = 6 + -3 + 5z Combine like terms: 6 + -3 = 3 8 + 6z = 3 + 5z Solving 8 + 6z = 3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 8 + 6z + -5z = 3 + 5z + -5z Combine like terms: 6z + -5z = 1z 8 + 1z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + 1z = 3 + 0 8 + 1z = 3 Add '-8' to each side of the equation. 8 + -8 + 1z = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 3 + -8 1z = 3 + -8 Combine like terms: 3 + -8 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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