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Simplifying (11z + 8) + -1(5z + -2) = 0 Reorder the terms: (8 + 11z) + -1(5z + -2) = 0 Remove parenthesis around (8 + 11z) 8 + 11z + -1(5z + -2) = 0 Reorder the terms: 8 + 11z + -1(-2 + 5z) = 0 8 + 11z + (-2 * -1 + 5z * -1) = 0 8 + 11z + (2 + -5z) = 0 Reorder the terms: 8 + 2 + 11z + -5z = 0 Combine like terms: 8 + 2 = 10 10 + 11z + -5z = 0 Combine like terms: 11z + -5z = 6z 10 + 6z = 0 Solving 10 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6z = 0 + -10 6z = 0 + -10 Combine like terms: 0 + -10 = -10 6z = -10 Divide each side by '6'. z = -1.666666667 Simplifying z = -1.666666667
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