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Simplifying (8z + 4) + (5z + 10) = 0 Reorder the terms: (4 + 8z) + (5z + 10) = 0 Remove parenthesis around (4 + 8z) 4 + 8z + (5z + 10) = 0 Reorder the terms: 4 + 8z + (10 + 5z) = 0 Remove parenthesis around (10 + 5z) 4 + 8z + 10 + 5z = 0 Reorder the terms: 4 + 10 + 8z + 5z = 0 Combine like terms: 4 + 10 = 14 14 + 8z + 5z = 0 Combine like terms: 8z + 5z = 13z 14 + 13z = 0 Solving 14 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 13z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 13z = 0 + -14 13z = 0 + -14 Combine like terms: 0 + -14 = -14 13z = -14 Divide each side by '13'. z = -1.076923077 Simplifying z = -1.076923077
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