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