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