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Simplifying 6z + -1 = z + 29 Reorder the terms: -1 + 6z = z + 29 Reorder the terms: -1 + 6z = 29 + z Solving -1 + 6z = 29 + 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 + 6z + -1z = 29 + z + -1z Combine like terms: 6z + -1z = 5z -1 + 5z = 29 + z + -1z Combine like terms: z + -1z = 0 -1 + 5z = 29 + 0 -1 + 5z = 29 Add '1' to each side of the equation. -1 + 1 + 5z = 29 + 1 Combine like terms: -1 + 1 = 0 0 + 5z = 29 + 1 5z = 29 + 1 Combine like terms: 29 + 1 = 30 5z = 30 Divide each side by '5'. z = 6 Simplifying z = 6
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