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Simplifying 8z + 13 = 6z + 8 Reorder the terms: 13 + 8z = 6z + 8 Reorder the terms: 13 + 8z = 8 + 6z Solving 13 + 8z = 8 + 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 = 8 + 6z + -6z Combine like terms: 8z + -6z = 2z 13 + 2z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 13 + 2z = 8 + 0 13 + 2z = 8 Add '-13' to each side of the equation. 13 + -13 + 2z = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 2z = 8 + -13 2z = 8 + -13 Combine like terms: 8 + -13 = -5 2z = -5 Divide each side by '2'. z = -2.5 Simplifying z = -2.5
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