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Simplifying -1[3z + -1(5z + 8)] = 8 + (1z + 7) Reorder the terms: -1[3z + -1(8 + 5z)] = 8 + (1z + 7) -1[3z + (8 * -1 + 5z * -1)] = 8 + (1z + 7) -1[3z + (-8 + -5z)] = 8 + (1z + 7) Reorder the terms: -1[-8 + 3z + -5z] = 8 + (1z + 7) Combine like terms: 3z + -5z = -2z -1[-8 + -2z] = 8 + (1z + 7) [-8 * -1 + -2z * -1] = 8 + (1z + 7) [8 + 2z] = 8 + (1z + 7) Reorder the terms: 8 + 2z = 8 + (7 + 1z) Remove parenthesis around (7 + 1z) 8 + 2z = 8 + 7 + 1z Combine like terms: 8 + 7 = 15 8 + 2z = 15 + 1z Solving 8 + 2z = 15 + 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. 8 + 2z + -1z = 15 + 1z + -1z Combine like terms: 2z + -1z = 1z 8 + 1z = 15 + 1z + -1z Combine like terms: 1z + -1z = 0 8 + 1z = 15 + 0 8 + 1z = 15 Add '-8' to each side of the equation. 8 + -8 + 1z = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 15 + -8 1z = 15 + -8 Combine like terms: 15 + -8 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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