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Simplifying 6z + 24 = 2z + 13 Reorder the terms: 24 + 6z = 2z + 13 Reorder the terms: 24 + 6z = 13 + 2z Solving 24 + 6z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 24 + 6z + -2z = 13 + 2z + -2z Combine like terms: 6z + -2z = 4z 24 + 4z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 24 + 4z = 13 + 0 24 + 4z = 13 Add '-24' to each side of the equation. 24 + -24 + 4z = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 13 + -24 4z = 13 + -24 Combine like terms: 13 + -24 = -11 4z = -11 Divide each side by '4'. z = -2.75 Simplifying z = -2.75
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