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Simplifying z + 5 = -13 + -5z Reorder the terms: 5 + z = -13 + -5z Solving 5 + z = -13 + -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. 5 + z + 5z = -13 + -5z + 5z Combine like terms: z + 5z = 6z 5 + 6z = -13 + -5z + 5z Combine like terms: -5z + 5z = 0 5 + 6z = -13 + 0 5 + 6z = -13 Add '-5' to each side of the equation. 5 + -5 + 6z = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = -13 + -5 6z = -13 + -5 Combine like terms: -13 + -5 = -18 6z = -18 Divide each side by '6'. z = -3 Simplifying z = -3
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