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Simplifying -9[9z + -1(15z + 3)] = 3 + (5z + 5) Reorder the terms: -9[9z + -1(3 + 15z)] = 3 + (5z + 5) -9[9z + (3 * -1 + 15z * -1)] = 3 + (5z + 5) -9[9z + (-3 + -15z)] = 3 + (5z + 5) Reorder the terms: -9[-3 + 9z + -15z] = 3 + (5z + 5) Combine like terms: 9z + -15z = -6z -9[-3 + -6z] = 3 + (5z + 5) [-3 * -9 + -6z * -9] = 3 + (5z + 5) [27 + 54z] = 3 + (5z + 5) Reorder the terms: 27 + 54z = 3 + (5 + 5z) Remove parenthesis around (5 + 5z) 27 + 54z = 3 + 5 + 5z Combine like terms: 3 + 5 = 8 27 + 54z = 8 + 5z Solving 27 + 54z = 8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 27 + 54z + -5z = 8 + 5z + -5z Combine like terms: 54z + -5z = 49z 27 + 49z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 27 + 49z = 8 + 0 27 + 49z = 8 Add '-27' to each side of the equation. 27 + -27 + 49z = 8 + -27 Combine like terms: 27 + -27 = 0 0 + 49z = 8 + -27 49z = 8 + -27 Combine like terms: 8 + -27 = -19 49z = -19 Divide each side by '49'. z = -0.387755102 Simplifying z = -0.387755102
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