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Simplifying 7z + -1(z + 8) = 0 Reorder the terms: 7z + -1(8 + z) = 0 7z + (8 * -1 + z * -1) = 0 7z + (-8 + -1z) = 0 Reorder the terms: -8 + 7z + -1z = 0 Combine like terms: 7z + -1z = 6z -8 + 6z = 0 Solving -8 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = 0 + 8 6z = 0 + 8 Combine like terms: 0 + 8 = 8 6z = 8 Divide each side by '6'. z = 1.333333333 Simplifying z = 1.333333333
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