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Simplifying 12 + -6z = 10 + -5z Solving 12 + -6z = 10 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 12 + -6z + 5z = 10 + -5z + 5z Combine like terms: -6z + 5z = -1z 12 + -1z = 10 + -5z + 5z Combine like terms: -5z + 5z = 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 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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