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