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Simplifying 5 + -13z = -12z Solving 5 + -13z = -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. 5 + -13z + 12z = -12z + 12z Combine like terms: -13z + 12z = -1z 5 + -1z = -12z + 12z Combine like terms: -12z + 12z = 0 5 + -1z = 0 Add '-5' to each side of the equation. 5 + -5 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 0 + -5 -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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