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Simplifying 5(z + -5) + 5z + -1 = 0 Reorder the terms: 5(-5 + z) + 5z + -1 = 0 (-5 * 5 + z * 5) + 5z + -1 = 0 (-25 + 5z) + 5z + -1 = 0 Reorder the terms: -25 + -1 + 5z + 5z = 0 Combine like terms: -25 + -1 = -26 -26 + 5z + 5z = 0 Combine like terms: 5z + 5z = 10z -26 + 10z = 0 Solving -26 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 10z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 10z = 0 + 26 10z = 0 + 26 Combine like terms: 0 + 26 = 26 10z = 26 Divide each side by '10'. z = 2.6 Simplifying z = 2.6
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