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Simplifying 8z + -13 = 6z + 7 Reorder the terms: -13 + 8z = 6z + 7 Reorder the terms: -13 + 8z = 7 + 6z Solving -13 + 8z = 7 + 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. -13 + 8z + -6z = 7 + 6z + -6z Combine like terms: 8z + -6z = 2z -13 + 2z = 7 + 6z + -6z Combine like terms: 6z + -6z = 0 -13 + 2z = 7 + 0 -13 + 2z = 7 Add '13' to each side of the equation. -13 + 13 + 2z = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 2z = 7 + 13 2z = 7 + 13 Combine like terms: 7 + 13 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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