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