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Simplifying 33z + -14 + -2z + 12 = 8z + z + -13 Reorder the terms: -14 + 12 + 33z + -2z = 8z + z + -13 Combine like terms: -14 + 12 = -2 -2 + 33z + -2z = 8z + z + -13 Combine like terms: 33z + -2z = 31z -2 + 31z = 8z + z + -13 Reorder the terms: -2 + 31z = -13 + 8z + z Combine like terms: 8z + z = 9z -2 + 31z = -13 + 9z Solving -2 + 31z = -13 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -2 + 31z + -9z = -13 + 9z + -9z Combine like terms: 31z + -9z = 22z -2 + 22z = -13 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + 22z = -13 + 0 -2 + 22z = -13 Add '2' to each side of the equation. -2 + 2 + 22z = -13 + 2 Combine like terms: -2 + 2 = 0 0 + 22z = -13 + 2 22z = -13 + 2 Combine like terms: -13 + 2 = -11 22z = -11 Divide each side by '22'. z = -0.5 Simplifying z = -0.5
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