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Simplifying 5z + -2 = 34 + z Reorder the terms: -2 + 5z = 34 + z Solving -2 + 5z = 34 + 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. -2 + 5z + -1z = 34 + z + -1z Combine like terms: 5z + -1z = 4z -2 + 4z = 34 + z + -1z Combine like terms: z + -1z = 0 -2 + 4z = 34 + 0 -2 + 4z = 34 Add '2' to each side of the equation. -2 + 2 + 4z = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = 34 + 2 4z = 34 + 2 Combine like terms: 34 + 2 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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