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Simplifying 3z + -4 = 8z + 16 Reorder the terms: -4 + 3z = 8z + 16 Reorder the terms: -4 + 3z = 16 + 8z Solving -4 + 3z = 16 + 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. -4 + 3z + -8z = 16 + 8z + -8z Combine like terms: 3z + -8z = -5z -4 + -5z = 16 + 8z + -8z Combine like terms: 8z + -8z = 0 -4 + -5z = 16 + 0 -4 + -5z = 16 Add '4' to each side of the equation. -4 + 4 + -5z = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -5z = 16 + 4 -5z = 16 + 4 Combine like terms: 16 + 4 = 20 -5z = 20 Divide each side by '-5'. z = -4 Simplifying z = -4
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