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Simplifying 11z + 27 = 13z + 5 Reorder the terms: 27 + 11z = 13z + 5 Reorder the terms: 27 + 11z = 5 + 13z Solving 27 + 11z = 5 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 27 + 11z + -13z = 5 + 13z + -13z Combine like terms: 11z + -13z = -2z 27 + -2z = 5 + 13z + -13z Combine like terms: 13z + -13z = 0 27 + -2z = 5 + 0 27 + -2z = 5 Add '-27' to each side of the equation. 27 + -27 + -2z = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -2z = 5 + -27 -2z = 5 + -27 Combine like terms: 5 + -27 = -22 -2z = -22 Divide each side by '-2'. z = 11 Simplifying z = 11
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