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Simplifying -1[7z + -1(10z + 8)] = 8 + (2z + 5) Reorder the terms: -1[7z + -1(8 + 10z)] = 8 + (2z + 5) -1[7z + (8 * -1 + 10z * -1)] = 8 + (2z + 5) -1[7z + (-8 + -10z)] = 8 + (2z + 5) Reorder the terms: -1[-8 + 7z + -10z] = 8 + (2z + 5) Combine like terms: 7z + -10z = -3z -1[-8 + -3z] = 8 + (2z + 5) [-8 * -1 + -3z * -1] = 8 + (2z + 5) [8 + 3z] = 8 + (2z + 5) Reorder the terms: 8 + 3z = 8 + (5 + 2z) Remove parenthesis around (5 + 2z) 8 + 3z = 8 + 5 + 2z Combine like terms: 8 + 5 = 13 8 + 3z = 13 + 2z Solving 8 + 3z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z 8 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + 1z = 13 + 0 8 + 1z = 13 Add '-8' to each side of the equation. 8 + -8 + 1z = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 13 + -8 1z = 13 + -8 Combine like terms: 13 + -8 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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