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Simplifying 3 + 2z + -2 = 9z + 10 + -4z Reorder the terms: 3 + -2 + 2z = 9z + 10 + -4z Combine like terms: 3 + -2 = 1 1 + 2z = 9z + 10 + -4z Reorder the terms: 1 + 2z = 10 + 9z + -4z Combine like terms: 9z + -4z = 5z 1 + 2z = 10 + 5z Solving 1 + 2z = 10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 2z + -5z = 10 + 5z + -5z Combine like terms: 2z + -5z = -3z 1 + -3z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + -3z = 10 + 0 1 + -3z = 10 Add '-1' to each side of the equation. 1 + -1 + -3z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = 10 + -1 -3z = 10 + -1 Combine like terms: 10 + -1 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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