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Simplifying 7 + 2z + -6 = 5z + 9 + -2z Reorder the terms: 7 + -6 + 2z = 5z + 9 + -2z Combine like terms: 7 + -6 = 1 1 + 2z = 5z + 9 + -2z Reorder the terms: 1 + 2z = 9 + 5z + -2z Combine like terms: 5z + -2z = 3z 1 + 2z = 9 + 3z Solving 1 + 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. 1 + 2z + -3z = 9 + 3z + -3z Combine like terms: 2z + -3z = -1z 1 + -1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -1z = 9 + 0 1 + -1z = 9 Add '-1' to each side of the equation. 1 + -1 + -1z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 9 + -1 -1z = 9 + -1 Combine like terms: 9 + -1 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8
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