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Simplifying 91 = (5z + -1) + 4z + (z + 2) Reorder the terms: 91 = (-1 + 5z) + 4z + (z + 2) Remove parenthesis around (-1 + 5z) 91 = -1 + 5z + 4z + (z + 2) Reorder the terms: 91 = -1 + 5z + 4z + (2 + z) Remove parenthesis around (2 + z) 91 = -1 + 5z + 4z + 2 + z Reorder the terms: 91 = -1 + 2 + 5z + 4z + z Combine like terms: -1 + 2 = 1 91 = 1 + 5z + 4z + z Combine like terms: 5z + 4z = 9z 91 = 1 + 9z + z Combine like terms: 9z + z = 10z 91 = 1 + 10z Solving 91 = 1 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 91 + -10z = 1 + 10z + -10z Combine like terms: 10z + -10z = 0 91 + -10z = 1 + 0 91 + -10z = 1 Add '-91' to each side of the equation. 91 + -91 + -10z = 1 + -91 Combine like terms: 91 + -91 = 0 0 + -10z = 1 + -91 -10z = 1 + -91 Combine like terms: 1 + -91 = -90 -10z = -90 Divide each side by '-10'. z = 9 Simplifying z = 9
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