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Simplifying 10 + -5z = 4z + -13 Reorder the terms: 10 + -5z = -13 + 4z Solving 10 + -5z = -13 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + -5z + -4z = -13 + 4z + -4z Combine like terms: -5z + -4z = -9z 10 + -9z = -13 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + -9z = -13 + 0 10 + -9z = -13 Add '-10' to each side of the equation. 10 + -10 + -9z = -13 + -10 Combine like terms: 10 + -10 = 0 0 + -9z = -13 + -10 -9z = -13 + -10 Combine like terms: -13 + -10 = -23 -9z = -23 Divide each side by '-9'. z = 2.555555556 Simplifying z = 2.555555556
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