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Simplifying 13 + 2z = 29 + 10z Solving 13 + 2z = 29 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 13 + 2z + -10z = 29 + 10z + -10z Combine like terms: 2z + -10z = -8z 13 + -8z = 29 + 10z + -10z Combine like terms: 10z + -10z = 0 13 + -8z = 29 + 0 13 + -8z = 29 Add '-13' to each side of the equation. 13 + -13 + -8z = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -8z = 29 + -13 -8z = 29 + -13 Combine like terms: 29 + -13 = 16 -8z = 16 Divide each side by '-8'. z = -2 Simplifying z = -2
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