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Simplifying 5z + -9 = z + 1 Reorder the terms: -9 + 5z = z + 1 Reorder the terms: -9 + 5z = 1 + z Solving -9 + 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. -9 + 5z + -1z = 1 + z + -1z Combine like terms: 5z + -1z = 4z -9 + 4z = 1 + z + -1z Combine like terms: z + -1z = 0 -9 + 4z = 1 + 0 -9 + 4z = 1 Add '9' to each side of the equation. -9 + 9 + 4z = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 4z = 1 + 9 4z = 1 + 9 Combine like terms: 1 + 9 = 10 4z = 10 Divide each side by '4'. z = 2.5 Simplifying z = 2.5
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