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Simplifying -1[5z + -1(12z + 2)] = 2 + (6z + 3) Reorder the terms: -1[5z + -1(2 + 12z)] = 2 + (6z + 3) -1[5z + (2 * -1 + 12z * -1)] = 2 + (6z + 3) -1[5z + (-2 + -12z)] = 2 + (6z + 3) Reorder the terms: -1[-2 + 5z + -12z] = 2 + (6z + 3) Combine like terms: 5z + -12z = -7z -1[-2 + -7z] = 2 + (6z + 3) [-2 * -1 + -7z * -1] = 2 + (6z + 3) [2 + 7z] = 2 + (6z + 3) Reorder the terms: 2 + 7z = 2 + (3 + 6z) Remove parenthesis around (3 + 6z) 2 + 7z = 2 + 3 + 6z Combine like terms: 2 + 3 = 5 2 + 7z = 5 + 6z Solving 2 + 7z = 5 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2 + 7z + -6z = 5 + 6z + -6z Combine like terms: 7z + -6z = 1z 2 + 1z = 5 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + 1z = 5 + 0 2 + 1z = 5 Add '-2' to each side of the equation. 2 + -2 + 1z = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 5 + -2 1z = 5 + -2 Combine like terms: 5 + -2 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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