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Simplifying 2z + -8 = 2z + 6 + z Reorder the terms: -8 + 2z = 2z + 6 + z Reorder the terms: -8 + 2z = 6 + 2z + z Combine like terms: 2z + z = 3z -8 + 2z = 6 + 3z Solving -8 + 2z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -8 + 2z + -3z = 6 + 3z + -3z Combine like terms: 2z + -3z = -1z -8 + -1z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + -1z = 6 + 0 -8 + -1z = 6 Add '8' to each side of the equation. -8 + 8 + -1z = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 6 + 8 -1z = 6 + 8 Combine like terms: 6 + 8 = 14 -1z = 14 Divide each side by '-1'. z = -14 Simplifying z = -14
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