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Simplifying 3z + 6 = 8z + -4 Reorder the terms: 6 + 3z = 8z + -4 Reorder the terms: 6 + 3z = -4 + 8z Solving 6 + 3z = -4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6 + 3z + -8z = -4 + 8z + -8z Combine like terms: 3z + -8z = -5z 6 + -5z = -4 + 8z + -8z Combine like terms: 8z + -8z = 0 6 + -5z = -4 + 0 6 + -5z = -4 Add '-6' to each side of the equation. 6 + -6 + -5z = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5z = -4 + -6 -5z = -4 + -6 Combine like terms: -4 + -6 = -10 -5z = -10 Divide each side by '-5'. z = 2 Simplifying z = 2
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