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Simplifying -13 = 9z + 5 + -3z Reorder the terms: -13 = 5 + 9z + -3z Combine like terms: 9z + -3z = 6z -13 = 5 + 6z Solving -13 = 5 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -13 + -6z = 5 + 6z + -6z Combine like terms: 6z + -6z = 0 -13 + -6z = 5 + 0 -13 + -6z = 5 Add '13' to each side of the equation. -13 + 13 + -6z = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -6z = 5 + 13 -6z = 5 + 13 Combine like terms: 5 + 13 = 18 -6z = 18 Divide each side by '-6'. z = -3 Simplifying z = -3
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