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Simplifying 3(4z + -1) + -14 = 0 Reorder the terms: 3(-1 + 4z) + -14 = 0 (-1 * 3 + 4z * 3) + -14 = 0 (-3 + 12z) + -14 = 0 Reorder the terms: -3 + -14 + 12z = 0 Combine like terms: -3 + -14 = -17 -17 + 12z = 0 Solving -17 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12z = 0 + 17 12z = 0 + 17 Combine like terms: 0 + 17 = 17 12z = 17 Divide each side by '12'. z = 1.416666667 Simplifying z = 1.416666667
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