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Simplifying -4z + 8z + -2 = 5 + -1z Reorder the terms: -2 + -4z + 8z = 5 + -1z Combine like terms: -4z + 8z = 4z -2 + 4z = 5 + -1z Solving -2 + 4z = 5 + -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. -2 + 4z + z = 5 + -1z + z Combine like terms: 4z + z = 5z -2 + 5z = 5 + -1z + z Combine like terms: -1z + z = 0 -2 + 5z = 5 + 0 -2 + 5z = 5 Add '2' to each side of the equation. -2 + 2 + 5z = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 5 + 2 5z = 5 + 2 Combine like terms: 5 + 2 = 7 5z = 7 Divide each side by '5'. z = 1.4 Simplifying z = 1.4
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