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Simplifying 10z + -4 + (k + 11) = 8k + -7 Reorder the terms: 10z + -4 + (11 + k) = 8k + -7 Remove parenthesis around (11 + k) 10z + -4 + 11 + k = 8k + -7 Reorder the terms: -4 + 11 + k + 10z = 8k + -7 Combine like terms: -4 + 11 = 7 7 + k + 10z = 8k + -7 Reorder the terms: 7 + k + 10z = -7 + 8k Solving 7 + k + 10z = -7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 7 + k + -8k + 10z = -7 + 8k + -8k Combine like terms: k + -8k = -7k 7 + -7k + 10z = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -7k + 10z = -7 + 0 7 + -7k + 10z = -7 Add '-7' to each side of the equation. 7 + -7k + -7 + 10z = -7 + -7 Reorder the terms: 7 + -7 + -7k + 10z = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -7k + 10z = -7 + -7 -7k + 10z = -7 + -7 Combine like terms: -7 + -7 = -14 -7k + 10z = -14 Add '-10z' to each side of the equation. -7k + 10z + -10z = -14 + -10z Combine like terms: 10z + -10z = 0 -7k + 0 = -14 + -10z -7k = -14 + -10z Divide each side by '-7'. k = 2 + 1.428571429z Simplifying k = 2 + 1.428571429z
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