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Simplifying 13 + -9z = 3z + 19 Reorder the terms: 13 + -9z = 19 + 3z Solving 13 + -9z = 19 + 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 + -9z + -3z = 19 + 3z + -3z Combine like terms: -9z + -3z = -12z 13 + -12z = 19 + 3z + -3z Combine like terms: 3z + -3z = 0 13 + -12z = 19 + 0 13 + -12z = 19 Add '-13' to each side of the equation. 13 + -13 + -12z = 19 + -13 Combine like terms: 13 + -13 = 0 0 + -12z = 19 + -13 -12z = 19 + -13 Combine like terms: 19 + -13 = 6 -12z = 6 Divide each side by '-12'. z = -0.5 Simplifying z = -0.5
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