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Simplifying -29 + 15 + -22z = 31 Combine like terms: -29 + 15 = -14 -14 + -22z = 31 Solving -14 + -22z = 31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -22z = 31 + 14 Combine like terms: -14 + 14 = 0 0 + -22z = 31 + 14 -22z = 31 + 14 Combine like terms: 31 + 14 = 45 -22z = 45 Divide each side by '-22'. z = -2.045454545 Simplifying z = -2.045454545
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