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Simplifying 31z + -22 = -11z + 188 Reorder the terms: -22 + 31z = -11z + 188 Reorder the terms: -22 + 31z = 188 + -11z Solving -22 + 31z = 188 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. -22 + 31z + 11z = 188 + -11z + 11z Combine like terms: 31z + 11z = 42z -22 + 42z = 188 + -11z + 11z Combine like terms: -11z + 11z = 0 -22 + 42z = 188 + 0 -22 + 42z = 188 Add '22' to each side of the equation. -22 + 22 + 42z = 188 + 22 Combine like terms: -22 + 22 = 0 0 + 42z = 188 + 22 42z = 188 + 22 Combine like terms: 188 + 22 = 210 42z = 210 Divide each side by '42'. z = 5 Simplifying z = 5
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