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Simplifying -5z + 6 = 6z + -38 Reorder the terms: 6 + -5z = 6z + -38 Reorder the terms: 6 + -5z = -38 + 6z Solving 6 + -5z = -38 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 6 + -5z + -6z = -38 + 6z + -6z Combine like terms: -5z + -6z = -11z 6 + -11z = -38 + 6z + -6z Combine like terms: 6z + -6z = 0 6 + -11z = -38 + 0 6 + -11z = -38 Add '-6' to each side of the equation. 6 + -6 + -11z = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -11z = -38 + -6 -11z = -38 + -6 Combine like terms: -38 + -6 = -44 -11z = -44 Divide each side by '-11'. z = 4 Simplifying z = 4
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