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Simplifying 3(7z + 4) + -12z + -27 = 0 Reorder the terms: 3(4 + 7z) + -12z + -27 = 0 (4 * 3 + 7z * 3) + -12z + -27 = 0 (12 + 21z) + -12z + -27 = 0 Reorder the terms: 12 + -27 + 21z + -12z = 0 Combine like terms: 12 + -27 = -15 -15 + 21z + -12z = 0 Combine like terms: 21z + -12z = 9z -15 + 9z = 0 Solving -15 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 9z = 0 + 15 9z = 0 + 15 Combine like terms: 0 + 15 = 15 9z = 15 Divide each side by '9'. z = 1.666666667 Simplifying z = 1.666666667
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