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Simplifying 3z + -6 = 8 + z Reorder the terms: -6 + 3z = 8 + z Solving -6 + 3z = 8 + 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. -6 + 3z + -1z = 8 + z + -1z Combine like terms: 3z + -1z = 2z -6 + 2z = 8 + z + -1z Combine like terms: z + -1z = 0 -6 + 2z = 8 + 0 -6 + 2z = 8 Add '6' to each side of the equation. -6 + 6 + 2z = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = 8 + 6 2z = 8 + 6 Combine like terms: 8 + 6 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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