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Simplifying 5 + 2z + -1 = 8z + 16 + -3z Reorder the terms: 5 + -1 + 2z = 8z + 16 + -3z Combine like terms: 5 + -1 = 4 4 + 2z = 8z + 16 + -3z Reorder the terms: 4 + 2z = 16 + 8z + -3z Combine like terms: 8z + -3z = 5z 4 + 2z = 16 + 5z Solving 4 + 2z = 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. 4 + 2z + -5z = 16 + 5z + -5z Combine like terms: 2z + -5z = -3z 4 + -3z = 16 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -3z = 16 + 0 4 + -3z = 16 Add '-4' to each side of the equation. 4 + -4 + -3z = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 16 + -4 -3z = 16 + -4 Combine like terms: 16 + -4 = 12 -3z = 12 Divide each side by '-3'. z = -4 Simplifying z = -4
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