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Simplifying -1[5z + -1(15z + 7)] = 7 + (9z + 0) Reorder the terms: -1[5z + -1(7 + 15z)] = 7 + (9z + 0) -1[5z + (7 * -1 + 15z * -1)] = 7 + (9z + 0) -1[5z + (-7 + -15z)] = 7 + (9z + 0) Reorder the terms: -1[-7 + 5z + -15z] = 7 + (9z + 0) Combine like terms: 5z + -15z = -10z -1[-7 + -10z] = 7 + (9z + 0) [-7 * -1 + -10z * -1] = 7 + (9z + 0) [7 + 10z] = 7 + (9z + 0) Reorder the terms: 7 + 10z = 7 + (0 + 9z) Remove the zero: 7 + 10z = 7 + (9z) 7 + 10z = 7 + (9z) Add '-7' to each side of the equation. 7 + -7 + 10z = 7 + -7 + (9z) Combine like terms: 7 + -7 = 0 0 + 10z = 7 + -7 + (9z) 10z = 7 + -7 + (9z) Combine like terms: 7 + -7 = 0 10z = 0 + (9z) 10z = (9z) Solving 10z = (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. 10z + (-9z) = (9z) + (-9z) Combine like terms: 10z + (-9z) = 1z 1z = (9z) + (-9z) Combine like terms: (9z) + (-9z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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