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Simplifying 5z + -1 = z + 7 Reorder the terms: -1 + 5z = z + 7 Reorder the terms: -1 + 5z = 7 + z Solving -1 + 5z = 7 + 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. -1 + 5z + -1z = 7 + z + -1z Combine like terms: 5z + -1z = 4z -1 + 4z = 7 + z + -1z Combine like terms: z + -1z = 0 -1 + 4z = 7 + 0 -1 + 4z = 7 Add '1' to each side of the equation. -1 + 1 + 4z = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = 7 + 1 4z = 7 + 1 Combine like terms: 7 + 1 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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