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Simplifying [9(z + 5) + -19] + [2(z + -2) + 5] = 0 Reorder the terms: [9(5 + z) + -19] + [2(z + -2) + 5] = 0 [(5 * 9 + z * 9) + -19] + [2(z + -2) + 5] = 0 [(45 + 9z) + -19] + [2(z + -2) + 5] = 0 Reorder the terms: [45 + -19 + 9z] + [2(z + -2) + 5] = 0 Combine like terms: 45 + -19 = 26 [26 + 9z] + [2(z + -2) + 5] = 0 Remove brackets around [26 + 9z] 26 + 9z + [2(z + -2) + 5] = 0 Reorder the terms: 26 + 9z + [2(-2 + z) + 5] = 0 26 + 9z + [(-2 * 2 + z * 2) + 5] = 0 26 + 9z + [(-4 + 2z) + 5] = 0 Reorder the terms: 26 + 9z + [-4 + 5 + 2z] = 0 Combine like terms: -4 + 5 = 1 26 + 9z + [1 + 2z] = 0 Remove brackets around [1 + 2z] 26 + 9z + 1 + 2z = 0 Reorder the terms: 26 + 1 + 9z + 2z = 0 Combine like terms: 26 + 1 = 27 27 + 9z + 2z = 0 Combine like terms: 9z + 2z = 11z 27 + 11z = 0 Solving 27 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11z = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11z = 0 + -27 11z = 0 + -27 Combine like terms: 0 + -27 = -27 11z = -27 Divide each side by '11'. z = -2.454545455 Simplifying z = -2.454545455
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