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Simplifying 19 + -13z = 8 + -12z Solving 19 + -13z = 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. 19 + -13z + 12z = 8 + -12z + 12z Combine like terms: -13z + 12z = -1z 19 + -1z = 8 + -12z + 12z Combine like terms: -12z + 12z = 0 19 + -1z = 8 + 0 19 + -1z = 8 Add '-19' to each side of the equation. 19 + -19 + -1z = 8 + -19 Combine like terms: 19 + -19 = 0 0 + -1z = 8 + -19 -1z = 8 + -19 Combine like terms: 8 + -19 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11
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