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Simplifying 7 + 3z + -1 = 6z + 11 + -2z Reorder the terms: 7 + -1 + 3z = 6z + 11 + -2z Combine like terms: 7 + -1 = 6 6 + 3z = 6z + 11 + -2z Reorder the terms: 6 + 3z = 11 + 6z + -2z Combine like terms: 6z + -2z = 4z 6 + 3z = 11 + 4z Solving 6 + 3z = 11 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 6 + 3z + -4z = 11 + 4z + -4z Combine like terms: 3z + -4z = -1z 6 + -1z = 11 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + -1z = 11 + 0 6 + -1z = 11 Add '-6' to each side of the equation. 6 + -6 + -1z = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 11 + -6 -1z = 11 + -6 Combine like terms: 11 + -6 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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