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Simplifying -1[3z + -1(7z + 8)] = 8 + (3z + 10) Reorder the terms: -1[3z + -1(8 + 7z)] = 8 + (3z + 10) -1[3z + (8 * -1 + 7z * -1)] = 8 + (3z + 10) -1[3z + (-8 + -7z)] = 8 + (3z + 10) Reorder the terms: -1[-8 + 3z + -7z] = 8 + (3z + 10) Combine like terms: 3z + -7z = -4z -1[-8 + -4z] = 8 + (3z + 10) [-8 * -1 + -4z * -1] = 8 + (3z + 10) [8 + 4z] = 8 + (3z + 10) Reorder the terms: 8 + 4z = 8 + (10 + 3z) Remove parenthesis around (10 + 3z) 8 + 4z = 8 + 10 + 3z Combine like terms: 8 + 10 = 18 8 + 4z = 18 + 3z Solving 8 + 4z = 18 + 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. 8 + 4z + -3z = 18 + 3z + -3z Combine like terms: 4z + -3z = 1z 8 + 1z = 18 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 1z = 18 + 0 8 + 1z = 18 Add '-8' to each side of the equation. 8 + -8 + 1z = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 18 + -8 1z = 18 + -8 Combine like terms: 18 + -8 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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