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Simplifying 3z + 8 = 5z + -16 Reorder the terms: 8 + 3z = 5z + -16 Reorder the terms: 8 + 3z = -16 + 5z Solving 8 + 3z = -16 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 8 + 3z + -5z = -16 + 5z + -5z Combine like terms: 3z + -5z = -2z 8 + -2z = -16 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + -2z = -16 + 0 8 + -2z = -16 Add '-8' to each side of the equation. 8 + -8 + -2z = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = -16 + -8 -2z = -16 + -8 Combine like terms: -16 + -8 = -24 -2z = -24 Divide each side by '-2'. z = 12 Simplifying z = 12
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