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Simplifying 5 + 8z + -4 = 5z + 6 + -2z Reorder the terms: 5 + -4 + 8z = 5z + 6 + -2z Combine like terms: 5 + -4 = 1 1 + 8z = 5z + 6 + -2z Reorder the terms: 1 + 8z = 6 + 5z + -2z Combine like terms: 5z + -2z = 3z 1 + 8z = 6 + 3z Solving 1 + 8z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + 8z + -3z = 6 + 3z + -3z Combine like terms: 8z + -3z = 5z 1 + 5z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 5z = 6 + 0 1 + 5z = 6 Add '-1' to each side of the equation. 1 + -1 + 5z = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5z = 6 + -1 5z = 6 + -1 Combine like terms: 6 + -1 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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