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Simplifying 5z + 1 + -2z = 5 + 2z + 6 Reorder the terms: 1 + 5z + -2z = 5 + 2z + 6 Combine like terms: 5z + -2z = 3z 1 + 3z = 5 + 2z + 6 Reorder the terms: 1 + 3z = 5 + 6 + 2z Combine like terms: 5 + 6 = 11 1 + 3z = 11 + 2z Solving 1 + 3z = 11 + 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. 1 + 3z + -2z = 11 + 2z + -2z Combine like terms: 3z + -2z = 1z 1 + 1z = 11 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 1z = 11 + 0 1 + 1z = 11 Add '-1' to each side of the equation. 1 + -1 + 1z = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 11 + -1 1z = 11 + -1 Combine like terms: 11 + -1 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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