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Simplifying 12 = 6z + -10 + -5z Reorder the terms: 12 = -10 + 6z + -5z Combine like terms: 6z + -5z = 1z 12 = -10 + 1z Solving 12 = -10 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 12 + -1z = -10 + 1z + -1z Combine like terms: 1z + -1z = 0 12 + -1z = -10 + 0 12 + -1z = -10 Add '-12' to each side of the equation. 12 + -12 + -1z = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = -10 + -12 -1z = -10 + -12 Combine like terms: -10 + -12 = -22 -1z = -22 Divide each side by '-1'. z = 22 Simplifying z = 22
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