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Simplifying 5 + -13 = -12z Combine like terms: 5 + -13 = -8 -8 = -12z Solving -8 = -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -8 + 12z = -12z + 12z Combine like terms: -12z + 12z = 0 -8 + 12z = 0 Add '8' to each side of the equation. -8 + 8 + 12z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12z = 0 + 8 12z = 0 + 8 Combine like terms: 0 + 8 = 8 12z = 8 Divide each side by '12'. z = 0.6666666667 Simplifying z = 0.6666666667
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