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Simplifying 4(z + -4) + 8z + -1 = 0 Reorder the terms: 4(-4 + z) + 8z + -1 = 0 (-4 * 4 + z * 4) + 8z + -1 = 0 (-16 + 4z) + 8z + -1 = 0 Reorder the terms: -16 + -1 + 4z + 8z = 0 Combine like terms: -16 + -1 = -17 -17 + 4z + 8z = 0 Combine like terms: 4z + 8z = 12z -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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