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Simplifying -4z + 2 = 2z + 16 Reorder the terms: 2 + -4z = 2z + 16 Reorder the terms: 2 + -4z = 16 + 2z Solving 2 + -4z = 16 + 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. 2 + -4z + -2z = 16 + 2z + -2z Combine like terms: -4z + -2z = -6z 2 + -6z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + -6z = 16 + 0 2 + -6z = 16 Add '-2' to each side of the equation. 2 + -2 + -6z = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = 16 + -2 -6z = 16 + -2 Combine like terms: 16 + -2 = 14 -6z = 14 Divide each side by '-6'. z = -2.333333333 Simplifying z = -2.333333333
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