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Simplifying -4 + -1z = 10 + -8z Solving -4 + -1z = 10 + -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 + -1z + 8z = 10 + -8z + 8z Combine like terms: -1z + 8z = 7z -4 + 7z = 10 + -8z + 8z Combine like terms: -8z + 8z = 0 -4 + 7z = 10 + 0 -4 + 7z = 10 Add '4' to each side of the equation. -4 + 4 + 7z = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7z = 10 + 4 7z = 10 + 4 Combine like terms: 10 + 4 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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