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Simplifying -5z + 15 = 1 + -4z Reorder the terms: 15 + -5z = 1 + -4z Solving 15 + -5z = 1 + -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. 15 + -5z + 4z = 1 + -4z + 4z Combine like terms: -5z + 4z = -1z 15 + -1z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 15 + -1z = 1 + 0 15 + -1z = 1 Add '-15' to each side of the equation. 15 + -15 + -1z = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 1 + -15 -1z = 1 + -15 Combine like terms: 1 + -15 = -14 -1z = -14 Divide each side by '-1'. z = 14 Simplifying z = 14
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