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Simplifying 3z + -1(5 + -1z) + -4 = 27 3z + (5 * -1 + -1z * -1) + -4 = 27 3z + (-5 + 1z) + -4 = 27 Reorder the terms: -5 + -4 + 3z + 1z = 27 Combine like terms: -5 + -4 = -9 -9 + 3z + 1z = 27 Combine like terms: 3z + 1z = 4z -9 + 4z = 27 Solving -9 + 4z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4z = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 4z = 27 + 9 4z = 27 + 9 Combine like terms: 27 + 9 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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