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Simplifying 13 = 5 + -3z Solving 13 = 5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 13 + 3z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 13 + 3z = 5 + 0 13 + 3z = 5 Add '-13' to each side of the equation. 13 + -13 + 3z = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 3z = 5 + -13 3z = 5 + -13 Combine like terms: 5 + -13 = -8 3z = -8 Divide each side by '3'. z = -2.666666667 Simplifying z = -2.666666667
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