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Simplifying z + 24 = 6z + -61 Reorder the terms: 24 + z = 6z + -61 Reorder the terms: 24 + z = -61 + 6z Solving 24 + z = -61 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 24 + z + -6z = -61 + 6z + -6z Combine like terms: z + -6z = -5z 24 + -5z = -61 + 6z + -6z Combine like terms: 6z + -6z = 0 24 + -5z = -61 + 0 24 + -5z = -61 Add '-24' to each side of the equation. 24 + -24 + -5z = -61 + -24 Combine like terms: 24 + -24 = 0 0 + -5z = -61 + -24 -5z = -61 + -24 Combine like terms: -61 + -24 = -85 -5z = -85 Divide each side by '-5'. z = 17 Simplifying z = 17
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