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Simplifying 5(z + -5) + 8z + 1 = 0 Reorder the terms: 5(-5 + z) + 8z + 1 = 0 (-5 * 5 + z * 5) + 8z + 1 = 0 (-25 + 5z) + 8z + 1 = 0 Reorder the terms: -25 + 1 + 5z + 8z = 0 Combine like terms: -25 + 1 = -24 -24 + 5z + 8z = 0 Combine like terms: 5z + 8z = 13z -24 + 13z = 0 Solving -24 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 13z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 13z = 0 + 24 13z = 0 + 24 Combine like terms: 0 + 24 = 24 13z = 24 Divide each side by '13'. z = 1.846153846 Simplifying z = 1.846153846
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