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Simplifying 7z + 2(1 + -1z) = -8 7z + (1 * 2 + -1z * 2) = -8 7z + (2 + -2z) = -8 Reorder the terms: 2 + 7z + -2z = -8 Combine like terms: 7z + -2z = 5z 2 + 5z = -8 Solving 2 + 5z = -8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5z = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = -8 + -2 5z = -8 + -2 Combine like terms: -8 + -2 = -10 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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