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Simplifying (3z + -11) + (6 + -6z) = 0 Reorder the terms: (-11 + 3z) + (6 + -6z) = 0 Remove parenthesis around (-11 + 3z) -11 + 3z + (6 + -6z) = 0 Remove parenthesis around (6 + -6z) -11 + 3z + 6 + -6z = 0 Reorder the terms: -11 + 6 + 3z + -6z = 0 Combine like terms: -11 + 6 = -5 -5 + 3z + -6z = 0 Combine like terms: 3z + -6z = -3z -5 + -3z = 0 Solving -5 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3z = 0 + 5 -3z = 0 + 5 Combine like terms: 0 + 5 = 5 -3z = 5 Divide each side by '-3'. z = -1.666666667 Simplifying z = -1.666666667
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