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Simplifying 6z + 2 = -6z + 50 Reorder the terms: 2 + 6z = -6z + 50 Reorder the terms: 2 + 6z = 50 + -6z Solving 2 + 6z = 50 + -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. 2 + 6z + 6z = 50 + -6z + 6z Combine like terms: 6z + 6z = 12z 2 + 12z = 50 + -6z + 6z Combine like terms: -6z + 6z = 0 2 + 12z = 50 + 0 2 + 12z = 50 Add '-2' to each side of the equation. 2 + -2 + 12z = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 12z = 50 + -2 12z = 50 + -2 Combine like terms: 50 + -2 = 48 12z = 48 Divide each side by '12'. z = 4 Simplifying z = 4
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