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Simplifying -1[5z + -1(14z + 7)] = 7 + (8z + 0) Reorder the terms: -1[5z + -1(7 + 14z)] = 7 + (8z + 0) -1[5z + (7 * -1 + 14z * -1)] = 7 + (8z + 0) -1[5z + (-7 + -14z)] = 7 + (8z + 0) Reorder the terms: -1[-7 + 5z + -14z] = 7 + (8z + 0) Combine like terms: 5z + -14z = -9z -1[-7 + -9z] = 7 + (8z + 0) [-7 * -1 + -9z * -1] = 7 + (8z + 0) [7 + 9z] = 7 + (8z + 0) Reorder the terms: 7 + 9z = 7 + (0 + 8z) Remove the zero: 7 + 9z = 7 + (8z) 7 + 9z = 7 + (8z) Add '-7' to each side of the equation. 7 + -7 + 9z = 7 + -7 + (8z) Combine like terms: 7 + -7 = 0 0 + 9z = 7 + -7 + (8z) 9z = 7 + -7 + (8z) Combine like terms: 7 + -7 = 0 9z = 0 + (8z) 9z = (8z) Solving 9z = (8z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-8z)' to each side of the equation. 9z + (-8z) = (8z) + (-8z) Combine like terms: 9z + (-8z) = 1z 1z = (8z) + (-8z) Combine like terms: (8z) + (-8z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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