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Simplifying 2z + 3 + -6z = 13 + -6z Reorder the terms: 3 + 2z + -6z = 13 + -6z Combine like terms: 2z + -6z = -4z 3 + -4z = 13 + -6z Solving 3 + -4z = 13 + -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 + -4z + 6z = 13 + -6z + 6z Combine like terms: -4z + 6z = 2z 3 + 2z = 13 + -6z + 6z Combine like terms: -6z + 6z = 0 3 + 2z = 13 + 0 3 + 2z = 13 Add '-3' to each side of the equation. 3 + -3 + 2z = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 13 + -3 2z = 13 + -3 Combine like terms: 13 + -3 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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