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Simplifying 13 + -4z = 2z + 9 Reorder the terms: 13 + -4z = 9 + 2z Solving 13 + -4z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 13 + -4z + -2z = 9 + 2z + -2z Combine like terms: -4z + -2z = -6z 13 + -6z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 13 + -6z = 9 + 0 13 + -6z = 9 Add '-13' to each side of the equation. 13 + -13 + -6z = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -6z = 9 + -13 -6z = 9 + -13 Combine like terms: 9 + -13 = -4 -6z = -4 Divide each side by '-6'. z = 0.6666666667 Simplifying z = 0.6666666667
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