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Simplifying 27z + -15 + -3z = 18z + 185 + -2z Reorder the terms: -15 + 27z + -3z = 18z + 185 + -2z Combine like terms: 27z + -3z = 24z -15 + 24z = 18z + 185 + -2z Reorder the terms: -15 + 24z = 185 + 18z + -2z Combine like terms: 18z + -2z = 16z -15 + 24z = 185 + 16z Solving -15 + 24z = 185 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -15 + 24z + -16z = 185 + 16z + -16z Combine like terms: 24z + -16z = 8z -15 + 8z = 185 + 16z + -16z Combine like terms: 16z + -16z = 0 -15 + 8z = 185 + 0 -15 + 8z = 185 Add '15' to each side of the equation. -15 + 15 + 8z = 185 + 15 Combine like terms: -15 + 15 = 0 0 + 8z = 185 + 15 8z = 185 + 15 Combine like terms: 185 + 15 = 200 8z = 200 Divide each side by '8'. z = 25 Simplifying z = 25
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