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Simplifying -1[2z + -1(4z + 4)] = 4 + (1z + 9) Reorder the terms: -1[2z + -1(4 + 4z)] = 4 + (1z + 9) -1[2z + (4 * -1 + 4z * -1)] = 4 + (1z + 9) -1[2z + (-4 + -4z)] = 4 + (1z + 9) Reorder the terms: -1[-4 + 2z + -4z] = 4 + (1z + 9) Combine like terms: 2z + -4z = -2z -1[-4 + -2z] = 4 + (1z + 9) [-4 * -1 + -2z * -1] = 4 + (1z + 9) [4 + 2z] = 4 + (1z + 9) Reorder the terms: 4 + 2z = 4 + (9 + 1z) Remove parenthesis around (9 + 1z) 4 + 2z = 4 + 9 + 1z Combine like terms: 4 + 9 = 13 4 + 2z = 13 + 1z Solving 4 + 2z = 13 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4 + 2z + -1z = 13 + 1z + -1z Combine like terms: 2z + -1z = 1z 4 + 1z = 13 + 1z + -1z Combine like terms: 1z + -1z = 0 4 + 1z = 13 + 0 4 + 1z = 13 Add '-4' to each side of the equation. 4 + -4 + 1z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 13 + -4 1z = 13 + -4 Combine like terms: 13 + -4 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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