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Simplifying 3 + -5z = 20 + -6z Solving 3 + -5z = 20 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 3 + -5z + 6z = 20 + -6z + 6z Combine like terms: -5z + 6z = 1z 3 + 1z = 20 + -6z + 6z Combine like terms: -6z + 6z = 0 3 + 1z = 20 + 0 3 + 1z = 20 Add '-3' to each side of the equation. 3 + -3 + 1z = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 20 + -3 1z = 20 + -3 Combine like terms: 20 + -3 = 17 1z = 17 Divide each side by '1'. z = 17 Simplifying z = 17
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