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Simplifying 5z + -1 = z + 6 Reorder the terms: -1 + 5z = z + 6 Reorder the terms: -1 + 5z = 6 + z Solving -1 + 5z = 6 + 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 = 6 + z + -1z Combine like terms: 5z + -1z = 4z -1 + 4z = 6 + z + -1z Combine like terms: z + -1z = 0 -1 + 4z = 6 + 0 -1 + 4z = 6 Add '1' to each side of the equation. -1 + 1 + 4z = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = 6 + 1 4z = 6 + 1 Combine like terms: 6 + 1 = 7 4z = 7 Divide each side by '4'. z = 1.75 Simplifying z = 1.75
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