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Simplifying 84 = 19 + z * 12 Reorder the terms for easier multiplication: 84 = 19 + 12z Solving 84 = 19 + 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. 84 + -12z = 19 + 12z + -12z Combine like terms: 12z + -12z = 0 84 + -12z = 19 + 0 84 + -12z = 19 Add '-84' to each side of the equation. 84 + -84 + -12z = 19 + -84 Combine like terms: 84 + -84 = 0 0 + -12z = 19 + -84 -12z = 19 + -84 Combine like terms: 19 + -84 = -65 -12z = -65 Divide each side by '-12'. z = 5.416666667 Simplifying z = 5.416666667
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