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Simplifying 4(2z + -1) + -5z = 0 Reorder the terms: 4(-1 + 2z) + -5z = 0 (-1 * 4 + 2z * 4) + -5z = 0 (-4 + 8z) + -5z = 0 Combine like terms: 8z + -5z = 3z -4 + 3z = 0 Solving -4 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = 0 + 4 3z = 0 + 4 Combine like terms: 0 + 4 = 4 3z = 4 Divide each side by '3'. z = 1.333333333 Simplifying z = 1.333333333
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