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Simplifying [9(z + 5) + -18] + [3(z + -2) + 5] = 0 Reorder the terms: [9(5 + z) + -18] + [3(z + -2) + 5] = 0 [(5 * 9 + z * 9) + -18] + [3(z + -2) + 5] = 0 [(45 + 9z) + -18] + [3(z + -2) + 5] = 0 Reorder the terms: [45 + -18 + 9z] + [3(z + -2) + 5] = 0 Combine like terms: 45 + -18 = 27 [27 + 9z] + [3(z + -2) + 5] = 0 Remove brackets around [27 + 9z] 27 + 9z + [3(z + -2) + 5] = 0 Reorder the terms: 27 + 9z + [3(-2 + z) + 5] = 0 27 + 9z + [(-2 * 3 + z * 3) + 5] = 0 27 + 9z + [(-6 + 3z) + 5] = 0 Reorder the terms: 27 + 9z + [-6 + 5 + 3z] = 0 Combine like terms: -6 + 5 = -1 27 + 9z + [-1 + 3z] = 0 Remove brackets around [-1 + 3z] 27 + 9z + -1 + 3z = 0 Reorder the terms: 27 + -1 + 9z + 3z = 0 Combine like terms: 27 + -1 = 26 26 + 9z + 3z = 0 Combine like terms: 9z + 3z = 12z 26 + 12z = 0 Solving 26 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 12z = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 12z = 0 + -26 12z = 0 + -26 Combine like terms: 0 + -26 = -26 12z = -26 Divide each side by '12'. z = -2.166666667 Simplifying z = -2.166666667
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