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Simplifying 5 + -1z = 2z + -27 Reorder the terms: 5 + -1z = -27 + 2z Solving 5 + -1z = -27 + 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. 5 + -1z + -2z = -27 + 2z + -2z Combine like terms: -1z + -2z = -3z 5 + -3z = -27 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + -3z = -27 + 0 5 + -3z = -27 Add '-5' to each side of the equation. 5 + -5 + -3z = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = -27 + -5 -3z = -27 + -5 Combine like terms: -27 + -5 = -32 -3z = -32 Divide each side by '-3'. z = 10.66666667 Simplifying z = 10.66666667
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