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Simplifying 9 + 2z + -5 = 5z + 10 + -2z Reorder the terms: 9 + -5 + 2z = 5z + 10 + -2z Combine like terms: 9 + -5 = 4 4 + 2z = 5z + 10 + -2z Reorder the terms: 4 + 2z = 10 + 5z + -2z Combine like terms: 5z + -2z = 3z 4 + 2z = 10 + 3z Solving 4 + 2z = 10 + 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. 4 + 2z + -3z = 10 + 3z + -3z Combine like terms: 2z + -3z = -1z 4 + -1z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -1z = 10 + 0 4 + -1z = 10 Add '-4' to each side of the equation. 4 + -4 + -1z = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 10 + -4 -1z = 10 + -4 Combine like terms: 10 + -4 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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