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Simplifying -6z + 36 = (3z + -8) Reorder the terms: 36 + -6z = (3z + -8) Reorder the terms: 36 + -6z = (-8 + 3z) Remove parenthesis around (-8 + 3z) 36 + -6z = -8 + 3z Solving 36 + -6z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 36 + -6z + -3z = -8 + 3z + -3z Combine like terms: -6z + -3z = -9z 36 + -9z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 36 + -9z = -8 + 0 36 + -9z = -8 Add '-36' to each side of the equation. 36 + -36 + -9z = -8 + -36 Combine like terms: 36 + -36 = 0 0 + -9z = -8 + -36 -9z = -8 + -36 Combine like terms: -8 + -36 = -44 -9z = -44 Divide each side by '-9'. z = 4.888888889 Simplifying z = 4.888888889
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