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Simplifying 3z + -5 = z + 11 Reorder the terms: -5 + 3z = z + 11 Reorder the terms: -5 + 3z = 11 + z Solving -5 + 3z = 11 + 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. -5 + 3z + -1z = 11 + z + -1z Combine like terms: 3z + -1z = 2z -5 + 2z = 11 + z + -1z Combine like terms: z + -1z = 0 -5 + 2z = 11 + 0 -5 + 2z = 11 Add '5' to each side of the equation. -5 + 5 + 2z = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 2z = 11 + 5 2z = 11 + 5 Combine like terms: 11 + 5 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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