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Simplifying 8 + 2z + -2 = 9z + 15 + -6z Reorder the terms: 8 + -2 + 2z = 9z + 15 + -6z Combine like terms: 8 + -2 = 6 6 + 2z = 9z + 15 + -6z Reorder the terms: 6 + 2z = 15 + 9z + -6z Combine like terms: 9z + -6z = 3z 6 + 2z = 15 + 3z Solving 6 + 2z = 15 + 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. 6 + 2z + -3z = 15 + 3z + -3z Combine like terms: 2z + -3z = -1z 6 + -1z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + -1z = 15 + 0 6 + -1z = 15 Add '-6' to each side of the equation. 6 + -6 + -1z = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 15 + -6 -1z = 15 + -6 Combine like terms: 15 + -6 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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