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Simplifying 3 + 4z + -2 = 8z + 9 + -2z Reorder the terms: 3 + -2 + 4z = 8z + 9 + -2z Combine like terms: 3 + -2 = 1 1 + 4z = 8z + 9 + -2z Reorder the terms: 1 + 4z = 9 + 8z + -2z Combine like terms: 8z + -2z = 6z 1 + 4z = 9 + 6z Solving 1 + 4z = 9 + 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. 1 + 4z + -6z = 9 + 6z + -6z Combine like terms: 4z + -6z = -2z 1 + -2z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -2z = 9 + 0 1 + -2z = 9 Add '-1' to each side of the equation. 1 + -1 + -2z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 9 + -1 -2z = 9 + -1 Combine like terms: 9 + -1 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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