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Simplifying 4z + 5(z + -1) + 5(z + -4) = 0 Reorder the terms: 4z + 5(-1 + z) + 5(z + -4) = 0 4z + (-1 * 5 + z * 5) + 5(z + -4) = 0 4z + (-5 + 5z) + 5(z + -4) = 0 Reorder the terms: 4z + -5 + 5z + 5(-4 + z) = 0 4z + -5 + 5z + (-4 * 5 + z * 5) = 0 4z + -5 + 5z + (-20 + 5z) = 0 Reorder the terms: -5 + -20 + 4z + 5z + 5z = 0 Combine like terms: -5 + -20 = -25 -25 + 4z + 5z + 5z = 0 Combine like terms: 4z + 5z = 9z -25 + 9z + 5z = 0 Combine like terms: 9z + 5z = 14z -25 + 14z = 0 Solving -25 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 14z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 14z = 0 + 25 14z = 0 + 25 Combine like terms: 0 + 25 = 25 14z = 25 Divide each side by '14'. z = 1.785714286 Simplifying z = 1.785714286
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