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Simplifying 6 + 6 + -2z = -1z + 2 Combine like terms: 6 + 6 = 12 12 + -2z = -1z + 2 Reorder the terms: 12 + -2z = 2 + -1z Solving 12 + -2z = 2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 12 + -2z + z = 2 + -1z + z Combine like terms: -2z + z = -1z 12 + -1z = 2 + -1z + z Combine like terms: -1z + z = 0 12 + -1z = 2 + 0 12 + -1z = 2 Add '-12' to each side of the equation. 12 + -12 + -1z = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = 2 + -12 -1z = 2 + -12 Combine like terms: 2 + -12 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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