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Simplifying 6z + 3 = 8z + -9 Reorder the terms: 3 + 6z = 8z + -9 Reorder the terms: 3 + 6z = -9 + 8z Solving 3 + 6z = -9 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 3 + 6z + -8z = -9 + 8z + -8z Combine like terms: 6z + -8z = -2z 3 + -2z = -9 + 8z + -8z Combine like terms: 8z + -8z = 0 3 + -2z = -9 + 0 3 + -2z = -9 Add '-3' to each side of the equation. 3 + -3 + -2z = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = -9 + -3 -2z = -9 + -3 Combine like terms: -9 + -3 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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