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Simplifying 3z + -1(2 + -1z) + -5 = 8 3z + (2 * -1 + -1z * -1) + -5 = 8 3z + (-2 + 1z) + -5 = 8 Reorder the terms: -2 + -5 + 3z + 1z = 8 Combine like terms: -2 + -5 = -7 -7 + 3z + 1z = 8 Combine like terms: 3z + 1z = 4z -7 + 4z = 8 Solving -7 + 4z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4z = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 8 + 7 4z = 8 + 7 Combine like terms: 8 + 7 = 15 4z = 15 Divide each side by '4'. z = 3.75 Simplifying z = 3.75
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