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Simplifying 3(z + -1) + 8 = 1 Reorder the terms: 3(-1 + z) + 8 = 1 (-1 * 3 + z * 3) + 8 = 1 (-3 + 3z) + 8 = 1 Reorder the terms: -3 + 8 + 3z = 1 Combine like terms: -3 + 8 = 5 5 + 3z = 1 Solving 5 + 3z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3z = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 1 + -5 3z = 1 + -5 Combine like terms: 1 + -5 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333
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