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Simplifying 12 = 6z + -10 Reorder the terms: 12 = -10 + 6z Solving 12 = -10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + -6z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -6z = -10 + 0 12 + -6z = -10 Add '-12' to each side of the equation. 12 + -12 + -6z = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = -10 + -12 -6z = -10 + -12 Combine like terms: -10 + -12 = -22 -6z = -22 Divide each side by '-6'. z = 3.666666667 Simplifying z = 3.666666667
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