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Simplifying 6 + 2z + -4 = 9z + 9 + -6z Reorder the terms: 6 + -4 + 2z = 9z + 9 + -6z Combine like terms: 6 + -4 = 2 2 + 2z = 9z + 9 + -6z Reorder the terms: 2 + 2z = 9 + 9z + -6z Combine like terms: 9z + -6z = 3z 2 + 2z = 9 + 3z Solving 2 + 2z = 9 + 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. 2 + 2z + -3z = 9 + 3z + -3z Combine like terms: 2z + -3z = -1z 2 + -1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -1z = 9 + 0 2 + -1z = 9 Add '-2' to each side of the equation. 2 + -2 + -1z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 9 + -2 -1z = 9 + -2 Combine like terms: 9 + -2 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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