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Simplifying 5z + -2 = 4z + 8 Reorder the terms: -2 + 5z = 4z + 8 Reorder the terms: -2 + 5z = 8 + 4z Solving -2 + 5z = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -2 + 5z + -4z = 8 + 4z + -4z Combine like terms: 5z + -4z = 1z -2 + 1z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -2 + 1z = 8 + 0 -2 + 1z = 8 Add '2' to each side of the equation. -2 + 2 + 1z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 8 + 2 1z = 8 + 2 Combine like terms: 8 + 2 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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