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Simplifying 5z + 25 = z + 1 Reorder the terms: 25 + 5z = z + 1 Reorder the terms: 25 + 5z = 1 + z Solving 25 + 5z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 25 + 5z + -1z = 1 + z + -1z Combine like terms: 5z + -1z = 4z 25 + 4z = 1 + z + -1z Combine like terms: z + -1z = 0 25 + 4z = 1 + 0 25 + 4z = 1 Add '-25' to each side of the equation. 25 + -25 + 4z = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 4z = 1 + -25 4z = 1 + -25 Combine like terms: 1 + -25 = -24 4z = -24 Divide each side by '4'. z = -6 Simplifying z = -6
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