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Simplifying 5(z + -5) + 4z + -2 = 0 Reorder the terms: 5(-5 + z) + 4z + -2 = 0 (-5 * 5 + z * 5) + 4z + -2 = 0 (-25 + 5z) + 4z + -2 = 0 Reorder the terms: -25 + -2 + 5z + 4z = 0 Combine like terms: -25 + -2 = -27 -27 + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z -27 + 9z = 0 Solving -27 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 9z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9z = 0 + 27 9z = 0 + 27 Combine like terms: 0 + 27 = 27 9z = 27 Divide each side by '9'. z = 3 Simplifying z = 3
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