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Simplifying 2z + 13 = 8z + 1 Reorder the terms: 13 + 2z = 8z + 1 Reorder the terms: 13 + 2z = 1 + 8z Solving 13 + 2z = 1 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 13 + 2z + -8z = 1 + 8z + -8z Combine like terms: 2z + -8z = -6z 13 + -6z = 1 + 8z + -8z Combine like terms: 8z + -8z = 0 13 + -6z = 1 + 0 13 + -6z = 1 Add '-13' to each side of the equation. 13 + -13 + -6z = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -6z = 1 + -13 -6z = 1 + -13 Combine like terms: 1 + -13 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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