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Simplifying (9z + 12) + -1(6z + 8) = 0 Reorder the terms: (12 + 9z) + -1(6z + 8) = 0 Remove parenthesis around (12 + 9z) 12 + 9z + -1(6z + 8) = 0 Reorder the terms: 12 + 9z + -1(8 + 6z) = 0 12 + 9z + (8 * -1 + 6z * -1) = 0 12 + 9z + (-8 + -6z) = 0 Reorder the terms: 12 + -8 + 9z + -6z = 0 Combine like terms: 12 + -8 = 4 4 + 9z + -6z = 0 Combine like terms: 9z + -6z = 3z 4 + 3z = 0 Solving 4 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 0 + -4 3z = 0 + -4 Combine like terms: 0 + -4 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333
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