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Simplifying 6z + 30 = 12z + -24 Reorder the terms: 30 + 6z = 12z + -24 Reorder the terms: 30 + 6z = -24 + 12z Solving 30 + 6z = -24 + 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. 30 + 6z + -12z = -24 + 12z + -12z Combine like terms: 6z + -12z = -6z 30 + -6z = -24 + 12z + -12z Combine like terms: 12z + -12z = 0 30 + -6z = -24 + 0 30 + -6z = -24 Add '-30' to each side of the equation. 30 + -30 + -6z = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -6z = -24 + -30 -6z = -24 + -30 Combine like terms: -24 + -30 = -54 -6z = -54 Divide each side by '-6'. z = 9 Simplifying z = 9
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