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Simplifying (8z + 9) + -1(5z + -7) = 0 Reorder the terms: (9 + 8z) + -1(5z + -7) = 0 Remove parenthesis around (9 + 8z) 9 + 8z + -1(5z + -7) = 0 Reorder the terms: 9 + 8z + -1(-7 + 5z) = 0 9 + 8z + (-7 * -1 + 5z * -1) = 0 9 + 8z + (7 + -5z) = 0 Reorder the terms: 9 + 7 + 8z + -5z = 0 Combine like terms: 9 + 7 = 16 16 + 8z + -5z = 0 Combine like terms: 8z + -5z = 3z 16 + 3z = 0 Solving 16 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3z = 0 + -16 3z = 0 + -16 Combine like terms: 0 + -16 = -16 3z = -16 Divide each side by '3'. z = -5.333333333 Simplifying z = -5.333333333
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