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Simplifying 3z + -1(3 + -1z) + -5 = 9 3z + (3 * -1 + -1z * -1) + -5 = 9 3z + (-3 + 1z) + -5 = 9 Reorder the terms: -3 + -5 + 3z + 1z = 9 Combine like terms: -3 + -5 = -8 -8 + 3z + 1z = 9 Combine like terms: 3z + 1z = 4z -8 + 4z = 9 Solving -8 + 4z = 9 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 = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 9 + 8 4z = 9 + 8 Combine like terms: 9 + 8 = 17 4z = 17 Divide each side by '4'. z = 4.25 Simplifying z = 4.25
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