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Simplifying -1[10z + -1(18 + 8)] = 8 + (7z + 3) Combine like terms: 18 + 8 = 26 -1[10z + -1(26)] = 8 + (7z + 3) Multiply -1 * 26 -1[10z + -26] = 8 + (7z + 3) Reorder the terms: -1[-26 + 10z] = 8 + (7z + 3) [-26 * -1 + 10z * -1] = 8 + (7z + 3) [26 + -10z] = 8 + (7z + 3) Reorder the terms: 26 + -10z = 8 + (3 + 7z) Remove parenthesis around (3 + 7z) 26 + -10z = 8 + 3 + 7z Combine like terms: 8 + 3 = 11 26 + -10z = 11 + 7z Solving 26 + -10z = 11 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 26 + -10z + -7z = 11 + 7z + -7z Combine like terms: -10z + -7z = -17z 26 + -17z = 11 + 7z + -7z Combine like terms: 7z + -7z = 0 26 + -17z = 11 + 0 26 + -17z = 11 Add '-26' to each side of the equation. 26 + -26 + -17z = 11 + -26 Combine like terms: 26 + -26 = 0 0 + -17z = 11 + -26 -17z = 11 + -26 Combine like terms: 11 + -26 = -15 -17z = -15 Divide each side by '-17'. z = 0.8823529412 Simplifying z = 0.8823529412
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