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Simplifying 5z + 16 = 8z + -5 Reorder the terms: 16 + 5z = 8z + -5 Reorder the terms: 16 + 5z = -5 + 8z Solving 16 + 5z = -5 + 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. 16 + 5z + -8z = -5 + 8z + -8z Combine like terms: 5z + -8z = -3z 16 + -3z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 16 + -3z = -5 + 0 16 + -3z = -5 Add '-16' to each side of the equation. 16 + -16 + -3z = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -3z = -5 + -16 -3z = -5 + -16 Combine like terms: -5 + -16 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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