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Simplifying 13 + -3z = 8z + 2 Reorder the terms: 13 + -3z = 2 + 8z Solving 13 + -3z = 2 + 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 + -3z + -8z = 2 + 8z + -8z Combine like terms: -3z + -8z = -11z 13 + -11z = 2 + 8z + -8z Combine like terms: 8z + -8z = 0 13 + -11z = 2 + 0 13 + -11z = 2 Add '-13' to each side of the equation. 13 + -13 + -11z = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -11z = 2 + -13 -11z = 2 + -13 Combine like terms: 2 + -13 = -11 -11z = -11 Divide each side by '-11'. z = 1 Simplifying z = 1
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