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Simplifying 5 + 4z + -1 = 5z + 11 + -2z Reorder the terms: 5 + -1 + 4z = 5z + 11 + -2z Combine like terms: 5 + -1 = 4 4 + 4z = 5z + 11 + -2z Reorder the terms: 4 + 4z = 11 + 5z + -2z Combine like terms: 5z + -2z = 3z 4 + 4z = 11 + 3z Solving 4 + 4z = 11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 4z + -3z = 11 + 3z + -3z Combine like terms: 4z + -3z = 1z 4 + 1z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 1z = 11 + 0 4 + 1z = 11 Add '-4' to each side of the equation. 4 + -4 + 1z = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 11 + -4 1z = 11 + -4 Combine like terms: 11 + -4 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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