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Simplifying (5z + 2) + -1(11z + -15) = 0 Reorder the terms: (2 + 5z) + -1(11z + -15) = 0 Remove parenthesis around (2 + 5z) 2 + 5z + -1(11z + -15) = 0 Reorder the terms: 2 + 5z + -1(-15 + 11z) = 0 2 + 5z + (-15 * -1 + 11z * -1) = 0 2 + 5z + (15 + -11z) = 0 Reorder the terms: 2 + 15 + 5z + -11z = 0 Combine like terms: 2 + 15 = 17 17 + 5z + -11z = 0 Combine like terms: 5z + -11z = -6z 17 + -6z = 0 Solving 17 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6z = 0 + -17 -6z = 0 + -17 Combine like terms: 0 + -17 = -17 -6z = -17 Divide each side by '-6'. z = 2.833333333 Simplifying z = 2.833333333
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