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Simplifying 2z + -27 = 43 + 6z Reorder the terms: -27 + 2z = 43 + 6z Solving -27 + 2z = 43 + 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. -27 + 2z + -6z = 43 + 6z + -6z Combine like terms: 2z + -6z = -4z -27 + -4z = 43 + 6z + -6z Combine like terms: 6z + -6z = 0 -27 + -4z = 43 + 0 -27 + -4z = 43 Add '27' to each side of the equation. -27 + 27 + -4z = 43 + 27 Combine like terms: -27 + 27 = 0 0 + -4z = 43 + 27 -4z = 43 + 27 Combine like terms: 43 + 27 = 70 -4z = 70 Divide each side by '-4'. z = -17.5 Simplifying z = -17.5
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