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Simplifying 5(z + -5) + 8z + -4 = 0 Reorder the terms: 5(-5 + z) + 8z + -4 = 0 (-5 * 5 + z * 5) + 8z + -4 = 0 (-25 + 5z) + 8z + -4 = 0 Reorder the terms: -25 + -4 + 5z + 8z = 0 Combine like terms: -25 + -4 = -29 -29 + 5z + 8z = 0 Combine like terms: 5z + 8z = 13z -29 + 13z = 0 Solving -29 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 13z = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 13z = 0 + 29 13z = 0 + 29 Combine like terms: 0 + 29 = 29 13z = 29 Divide each side by '13'. z = 2.230769231 Simplifying z = 2.230769231
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