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Simplifying -1z + 6 = 14 + 2z + -5 Reorder the terms: 6 + -1z = 14 + 2z + -5 Reorder the terms: 6 + -1z = 14 + -5 + 2z Combine like terms: 14 + -5 = 9 6 + -1z = 9 + 2z Solving 6 + -1z = 9 + 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. 6 + -1z + -2z = 9 + 2z + -2z Combine like terms: -1z + -2z = -3z 6 + -3z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + -3z = 9 + 0 6 + -3z = 9 Add '-6' to each side of the equation. 6 + -6 + -3z = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3z = 9 + -6 -3z = 9 + -6 Combine like terms: 9 + -6 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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