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Simplifying 2z + 8 = 6z + -12 Reorder the terms: 8 + 2z = 6z + -12 Reorder the terms: 8 + 2z = -12 + 6z Solving 8 + 2z = -12 + 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. 8 + 2z + -6z = -12 + 6z + -6z Combine like terms: 2z + -6z = -4z 8 + -4z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + -4z = -12 + 0 8 + -4z = -12 Add '-8' to each side of the equation. 8 + -8 + -4z = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4z = -12 + -8 -4z = -12 + -8 Combine like terms: -12 + -8 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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