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Simplifying (12z + 9) + -1(5z + -6) = 0 Reorder the terms: (9 + 12z) + -1(5z + -6) = 0 Remove parenthesis around (9 + 12z) 9 + 12z + -1(5z + -6) = 0 Reorder the terms: 9 + 12z + -1(-6 + 5z) = 0 9 + 12z + (-6 * -1 + 5z * -1) = 0 9 + 12z + (6 + -5z) = 0 Reorder the terms: 9 + 6 + 12z + -5z = 0 Combine like terms: 9 + 6 = 15 15 + 12z + -5z = 0 Combine like terms: 12z + -5z = 7z 15 + 7z = 0 Solving 15 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7z = 0 + -15 7z = 0 + -15 Combine like terms: 0 + -15 = -15 7z = -15 Divide each side by '7'. z = -2.142857143 Simplifying z = -2.142857143
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