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Simplifying 8z + -13 = -16 + 5z Reorder the terms: -13 + 8z = -16 + 5z Solving -13 + 8z = -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. -13 + 8z + -5z = -16 + 5z + -5z Combine like terms: 8z + -5z = 3z -13 + 3z = -16 + 5z + -5z Combine like terms: 5z + -5z = 0 -13 + 3z = -16 + 0 -13 + 3z = -16 Add '13' to each side of the equation. -13 + 13 + 3z = -16 + 13 Combine like terms: -13 + 13 = 0 0 + 3z = -16 + 13 3z = -16 + 13 Combine like terms: -16 + 13 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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