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Simplifying 12z + -8(z + -1) = -5 Reorder the terms: 12z + -8(-1 + z) = -5 12z + (-1 * -8 + z * -8) = -5 12z + (8 + -8z) = -5 Reorder the terms: 8 + 12z + -8z = -5 Combine like terms: 12z + -8z = 4z 8 + 4z = -5 Solving 8 + 4z = -5 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 + 4z = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 4z = -5 + -8 4z = -5 + -8 Combine like terms: -5 + -8 = -13 4z = -13 Divide each side by '4'. z = -3.25 Simplifying z = -3.25
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