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Simplifying (11z + 2) + -1(5z + 15) = 0 Reorder the terms: (2 + 11z) + -1(5z + 15) = 0 Remove parenthesis around (2 + 11z) 2 + 11z + -1(5z + 15) = 0 Reorder the terms: 2 + 11z + -1(15 + 5z) = 0 2 + 11z + (15 * -1 + 5z * -1) = 0 2 + 11z + (-15 + -5z) = 0 Reorder the terms: 2 + -15 + 11z + -5z = 0 Combine like terms: 2 + -15 = -13 -13 + 11z + -5z = 0 Combine like terms: 11z + -5z = 6z -13 + 6z = 0 Solving -13 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6z = 0 + 13 6z = 0 + 13 Combine like terms: 0 + 13 = 13 6z = 13 Divide each side by '6'. z = 2.166666667 Simplifying z = 2.166666667
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