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Simplifying 4z + 15 = 5z + -11 Reorder the terms: 15 + 4z = 5z + -11 Reorder the terms: 15 + 4z = -11 + 5z Solving 15 + 4z = -11 + 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. 15 + 4z + -5z = -11 + 5z + -5z Combine like terms: 4z + -5z = -1z 15 + -1z = -11 + 5z + -5z Combine like terms: 5z + -5z = 0 15 + -1z = -11 + 0 15 + -1z = -11 Add '-15' to each side of the equation. 15 + -15 + -1z = -11 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = -11 + -15 -1z = -11 + -15 Combine like terms: -11 + -15 = -26 -1z = -26 Divide each side by '-1'. z = 26 Simplifying z = 26
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