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Simplifying -1[6z + -1(12z + 10)] = 10 + (5z + 0) Reorder the terms: -1[6z + -1(10 + 12z)] = 10 + (5z + 0) -1[6z + (10 * -1 + 12z * -1)] = 10 + (5z + 0) -1[6z + (-10 + -12z)] = 10 + (5z + 0) Reorder the terms: -1[-10 + 6z + -12z] = 10 + (5z + 0) Combine like terms: 6z + -12z = -6z -1[-10 + -6z] = 10 + (5z + 0) [-10 * -1 + -6z * -1] = 10 + (5z + 0) [10 + 6z] = 10 + (5z + 0) Reorder the terms: 10 + 6z = 10 + (0 + 5z) Remove the zero: 10 + 6z = 10 + (5z) 10 + 6z = 10 + (5z) Add '-10' to each side of the equation. 10 + -10 + 6z = 10 + -10 + (5z) Combine like terms: 10 + -10 = 0 0 + 6z = 10 + -10 + (5z) 6z = 10 + -10 + (5z) Combine like terms: 10 + -10 = 0 6z = 0 + (5z) 6z = (5z) Solving 6z = (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. 6z + (-5z) = (5z) + (-5z) Combine like terms: 6z + (-5z) = 1z 1z = (5z) + (-5z) Combine like terms: (5z) + (-5z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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