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Simplifying -4z + 8 = 40 + 2z + -6 Reorder the terms: 8 + -4z = 40 + 2z + -6 Reorder the terms: 8 + -4z = 40 + -6 + 2z Combine like terms: 40 + -6 = 34 8 + -4z = 34 + 2z Solving 8 + -4z = 34 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8 + -4z + -2z = 34 + 2z + -2z Combine like terms: -4z + -2z = -6z 8 + -6z = 34 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + -6z = 34 + 0 8 + -6z = 34 Add '-8' to each side of the equation. 8 + -8 + -6z = 34 + -8 Combine like terms: 8 + -8 = 0 0 + -6z = 34 + -8 -6z = 34 + -8 Combine like terms: 34 + -8 = 26 -6z = 26 Divide each side by '-6'. z = -4.333333333 Simplifying z = -4.333333333
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