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Simplifying 5z + -4 = 8z + 5 Reorder the terms: -4 + 5z = 8z + 5 Reorder the terms: -4 + 5z = 5 + 8z Solving -4 + 5z = 5 + 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 = 5 + 8z + -8z Combine like terms: 5z + -8z = -3z -4 + -3z = 5 + 8z + -8z Combine like terms: 8z + -8z = 0 -4 + -3z = 5 + 0 -4 + -3z = 5 Add '4' to each side of the equation. -4 + 4 + -3z = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 5 + 4 -3z = 5 + 4 Combine like terms: 5 + 4 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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