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Simplifying 2z + 6 = z + 8 + -2z Reorder the terms: 6 + 2z = z + 8 + -2z Reorder the terms: 6 + 2z = 8 + z + -2z Combine like terms: z + -2z = -1z 6 + 2z = 8 + -1z Solving 6 + 2z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 6 + 2z + z = 8 + -1z + z Combine like terms: 2z + z = 3z 6 + 3z = 8 + -1z + z Combine like terms: -1z + z = 0 6 + 3z = 8 + 0 6 + 3z = 8 Add '-6' to each side of the equation. 6 + -6 + 3z = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 8 + -6 3z = 8 + -6 Combine like terms: 8 + -6 = 2 3z = 2 Divide each side by '3'. z = 0.6666666667 Simplifying z = 0.6666666667
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