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Simplifying -1[3z + -1(8z + 2)] = 2 + (4z + 6) Reorder the terms: -1[3z + -1(2 + 8z)] = 2 + (4z + 6) -1[3z + (2 * -1 + 8z * -1)] = 2 + (4z + 6) -1[3z + (-2 + -8z)] = 2 + (4z + 6) Reorder the terms: -1[-2 + 3z + -8z] = 2 + (4z + 6) Combine like terms: 3z + -8z = -5z -1[-2 + -5z] = 2 + (4z + 6) [-2 * -1 + -5z * -1] = 2 + (4z + 6) [2 + 5z] = 2 + (4z + 6) Reorder the terms: 2 + 5z = 2 + (6 + 4z) Remove parenthesis around (6 + 4z) 2 + 5z = 2 + 6 + 4z Combine like terms: 2 + 6 = 8 2 + 5z = 8 + 4z Solving 2 + 5z = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 5z + -4z = 8 + 4z + -4z Combine like terms: 5z + -4z = 1z 2 + 1z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 1z = 8 + 0 2 + 1z = 8 Add '-2' to each side of the equation. 2 + -2 + 1z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 8 + -2 1z = 8 + -2 Combine like terms: 8 + -2 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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