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Simplifying 5z + -4 + 3z = 8 + -1z Reorder the terms: -4 + 5z + 3z = 8 + -1z Combine like terms: 5z + 3z = 8z -4 + 8z = 8 + -1z Solving -4 + 8z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -4 + 8z + z = 8 + -1z + z Combine like terms: 8z + z = 9z -4 + 9z = 8 + -1z + z Combine like terms: -1z + z = 0 -4 + 9z = 8 + 0 -4 + 9z = 8 Add '4' to each side of the equation. -4 + 4 + 9z = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 9z = 8 + 4 9z = 8 + 4 Combine like terms: 8 + 4 = 12 9z = 12 Divide each side by '9'. z = 1.333333333 Simplifying z = 1.333333333
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