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Simplifying -3[2 + -1(13z + 2)] = 2 + (9z + 1) Reorder the terms: -3[2 + -1(2 + 13z)] = 2 + (9z + 1) -3[2 + (2 * -1 + 13z * -1)] = 2 + (9z + 1) -3[2 + (-2 + -13z)] = 2 + (9z + 1) Combine like terms: 2 + -2 = 0 -3[0 + -13z] = 2 + (9z + 1) -3[-13z] = 2 + (9z + 1) Remove brackets around [-13z] -3 * -13z = 2 + (9z + 1) Multiply -3 * -13 39z = 2 + (9z + 1) Reorder the terms: 39z = 2 + (1 + 9z) Remove parenthesis around (1 + 9z) 39z = 2 + 1 + 9z Combine like terms: 2 + 1 = 3 39z = 3 + 9z Solving 39z = 3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 39z + -9z = 3 + 9z + -9z Combine like terms: 39z + -9z = 30z 30z = 3 + 9z + -9z Combine like terms: 9z + -9z = 0 30z = 3 + 0 30z = 3 Divide each side by '30'. z = 0.1 Simplifying z = 0.1
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